Statistics 570 +MCQS
Table of Contents
S. No.
Course Title Page No Total
Number of MCQS
1. Basic Statistics MCQs 1-33 159
2. Statistic Binomial and Hyper-Geometric Probability MCQs
33-48 71
3. Statistic Index Number MCQs 49-56 39
4. Statistic Measures of Dispersion
MCQs 57-63 49
5. Measures of Location MCQs 64-69 40
6. Statistic Normal Distribution MCQs 70-78 58
7. Statistics Presentation of Data
MCQs 79-84 40
8. Statistics Probability MCQs 85-91 50
9. Statistics Sample Linear Regression
MCQs 92-96 29
10. Statistics Sampling MCQs 97-102 37
Total MCQs 572
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Basic Statistics MCQs
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1. If x is 4 and the distribution is 2, 3, 4, 5, 6, the sum of squared
deviations from the x will be______________?
A. 8
B. 10
C. 6
D. 12
2. A contractor employs 20 male, 15 females and 5 children in
his factory. Male wages are Rs. 10 per day, female Rs. 8 per
day, and children Rs. 3 per day. The weighted x of wages paid
per day will be_____________?
A. 3.86
B. 8.37
C. 9.21
D. 10.63
3. In a week the prices of a bag of rice were 350 ,280, 340, 290,
320, 310, 300. The range is_____________?
A. 60
B. 90
C. 70
D. 100
4. If a distribution has two modes then this distribution is
called______________?
A. Uni-Modal
B. Bi-Modal
C. Tri-Modal
D. Multi-Modal
E. None of these
5. The Harmonic Mean of any two numbers is________________?
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A. a+b2
B. 2aba+b
C. ab−−√
D. a+b
6. Which of the following Measure of averages is affected by
extreme (very small or very large? values in data set?
A. Geometric Mean
B. Median
C. Arithmetic Mean
D. Harmonic Mean
E. Mode
7. Geometric means of X1 and X2 is________________?
A. X1+X2
B. X1+X2x
C. X1+X2−−−−−−−√
D. X1×X2−−−−−−−√
E. X1−−−√+X2−−−√
8. Which of the following Measure of Averages is not based on all
the values given in the data set?
A. Arithmetic Mean
B. Geometric Mean
C. Median;
D. Mode
E. Both C. and D.
9. If 10% is added to each value of variable, the geometric mean
of new variable is added by_______________?
A. 5%
B. 10%
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C. No Change
D. 110%
E. 90%
10. The Geometric Mean of -2, 4, 03, 6, 0 will be______________?
A. -3
B. 0
C. 3
D. Cannot be Computed
E. None of these
11. Which of the following cannot be less than zero (negative)?
A. Median
B. Geometric Mean
C. Arithmetic Mean
D. Harmonic Mean
E. Mode
12. If any of the value in data set is zero then it is not possible (i.e.
impossiblE. to compute_______________?
A. Mode
B. Median
C. Mean
D. Harmonic Mean
E. Geometric Mean
13. Data must be arranged either in ascending or descending
order, if some wants to compute____________?
A. Mode
B. Median
C. Harmonic Mean
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D. Geometric Mean
E. Median
14. 2nd Quartile = 5th Decile = 50th Percentile = ?
A. Mode
B. Median
C. Mean
D. Geometric Mean
E. Harmonic Mean
15. _____________is the measure of average which can have more
than one value?
A. Mean
B. Median
C. Harmonic Mean
D. Mode
E. Geometric Mean
16. In a frequency distribution the last cumulative frequency is
500. Q3 must lie in_____________?
A. 275th item
B. 375th item
C. 150th item
D. 175th item
17. The average monthly production of a factory for the first 8
months is 2,500 units, and for the next 4 months the
production was 1,200 units. The average monthly production
of the year will be_____________?
A. 2066.55 units
B. 5031.10 units
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C. 4021.12 units
D. 3012.11 units
18. Find the median of the following datA. 160, 180, 200, 280,
300, 320, 400?
A. 140
B. 300
C. 180
D. 280
19. In a frequency distribution the last cumulative frequency is
300, Median shall lie in____________?
A. 140th item
B. 130th item
C. 160th item
D. 150th item
20. Given the N values in a series, the geometric mean
is______________?
A. The third root of the product of N values
B. The square root of the product of N values
C. The fourth root of the product of N values
D. The Nth root of the product of N values
21. The sum of squared deviation is least from_________________?
A. Median
B. Mean
C. Mode
D. Standard Deviation
22. The average of first n natural numbers is_______________?
A. n+12
B. n2
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C. All of the above
D. None of these
23. The mean of a constant “b” is_________________?
A. Zero
B. b
C. None
24. Sum of deviations will be zero if it is taken
from_________________?
A. Mean
B. Mode
C. Median
D. Standard Deviation
25. The mean of 10 numbers is 9, then sum of these numbers will
be__________________?
A. 9
B. 0.9
C. 70
D 90
26. For a certain distribution if
∑(x−2)=18,∑(x−24)=0,∑(x−28)=−24) then arithmetic mean
is_______________?
A. 21
B. 24
C. 28
D. 0
27. Arithmetic mean of two positive numbers “X” and “Y”
is_________________?
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A. ab2
B. 2a2
C. (a+b)/2
D. a−b2
E. 2a+b
28. The calculation of mean and variance is based on______________?
A. Small values only
B. Large values only
C. Extreme values only
D. All values
29. If β2=m4m22<3, the distribution is called______________?
A. Normal
B. Mesokurtic
C. Leptokurtic
D. Platykurtic
30. The degree of peakedness is called__________________?
A. Dispersion
B. Skewness
C. Symmetry
D. Kurtosis
31. Quartile Coefficient of skewness lies between______________?
A. 0 and 1
B. -1 and +1
C. -1 and 0
D. None of these
32. If the third moment about mean is zero then distribution
is_______________?
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A. Mesokurtic
B. Positively Skewed
C. Symmetrical
D. Negatively Skewed
33. ____________ is used to criterion of consistency i.e for consistence
performance?
A. Range
B. Standard Deviation
C. Coefficient of Variation
D. Mean Deviation
34. For a symmetrical distribution approximately 68% of the
cases are included between _________________?
A. X¯¯¯¯−S and X¯¯¯¯+S
B. X¯¯¯¯−2S and X¯¯¯¯+2S
C. X¯¯¯¯−3S and X¯¯¯¯+3S
D. None of these
35. If Y=−8X − 5 and SD of X is 3, then SD of Y is _______________?
A. 8
B. 3
C. 5
D. 24
E. None
36. The variance of a constant is_______________?
A. Zero
B. Constant
C. a
D. None
37. Var(2X+3) is________________?
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A. 5 Var(X)
B. 4 Var(X)
C. 4 Var(X)+3
D. 5 Var(X)+3
38. Suppose for 40 observations, the variance is 50. If all the
observations are increased by 20, the variance of these
increased observation will be______________?
A. 50
B. 70
C. 50/20
D. 50-20 = 30
E. 50
39. The variance of 5 numbers is 10. If each number is divided by
2, then the variance of new numbers is______________?
A. 20
B. 5
C. 2.5
D. 5.5
E. 0
40. The standard deviation is always _________ than mean
deviation?
A. Greater
B. Less
C. Equal
D. None
41. The measure of Dispersion can never be________________?
A. Positive
B. Negative
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C. 0
D. 1
42. If mean is 25 and standard deviation is 5 then C.V (Coefficient
of variation) is_______________?
A. 100%
B. 25%
C. 20%
D. None of these
43. The first moment about means is always_________________?
A. Zero
B. 1
C. Negative
D. None of these
44. Lack of symmetry is called_______________?
A. Absolute Dispersion
B. Relative Dispersion
C. Skewness
D. Non of these
45. If right tail is longer than left tail then distribution is called
_________________?
A. Negatively Skewed
B. Positively Skewed
C. All of above
D. None of these
46. ______________is based on all observations of data?
A. Median
B. Mode
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C. Mean
D. None of these
47. For Mesokurtic curve of the distribution, β2 is__________________?
A. Zero
B. 3
C. 3
E. None of these
48. In uni-model distribution, if mode is less than
mean_______________?
A. Symmetrical
B. Normal
C. Positively Skewed
D. Negatively Skewed
49. The Coefficient of Skewness is always zero for ____________
distribution?
A. Symmetrical
B. Skewed
C. All of above
D. None of these
50. Second moment about mean is_______________?
A. Standard Deviation
B. Variance
C. Coefficient of Variation
D. None of these
51. _____________is used to compare the variation or dispersion in
two or more sets of data even though they are measured in
different units?
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A. Range
B. Standard Deviation
C. Coefficient of Variation
D. Mean Deviation
52. If all values are same then the measure of dispersion will
be________________?
A. 1
B. 0
C. Mean
D. Mode
E. Median
53. If the standard deviation of the values 2, 4, 6, 8 is 2.58, then
the standard deviation of the values 4, 6, 8, 10 is_______________?
A. 0
B. 2.58
C. 5
D. 4.66
E. 2.33
54. If X and Y are independent then SD (X − Y) is________________?
A. SD(X)−SD(Y)
B. SD(X)+SD(Y)
C. SD(X)+SD(Y)−−−−−−−−−−−−−−√
D. Var(X)+Var(Y)−−−−−−−−−−−−−−−√
18) If Y=−8X − 5 and SD of X is 3, then SD of Y is
55. Standard deviation is calculated from the Harmonic Mean
(HM) ________________?
A. Always
B. Sometimes
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C. Never
D. None of these
56. If a and b are two constants, then Var(a+bX) is_______________?
A. a±bVar(X)
B. Var(a)±Var(X)
C. ±bVar(X)
D. b2Var(X)
E. (a±b)Var(X)
57. Variance remains unchanged by change of________________?
A. Origin
B. Scale
C. Both
D. None of these
58. Lowest value of variance can be________________?
A. 1
B. -1
C. 3
D. -3
E. 0
59. The sum of squared deviations of a set of n values from their
mean is__________________?
A. Zero
B. Maximum
C. Least
D. None
60. Mean Deviation, Variance and Standard Deviation of the
values 4, 4, 4, 4, 4, 4 is_________________?
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A. 4
B. 8
C. 2
D. 12
E. 0
61. The measure of dispersion is changed by a change
of_____________?
A. Origin
B. Scale
C. Algebraic Signs
D. None
62. A measure of dispersion is always ________________?
A. Zero
B. Positive
C. Negative
D. Infinity
63. The algebraic sum of deviations from mean is_____________?
A. Maximum
B. Zero
C. Minimum
D. Undefined
64. You asked five of your classmates about their height. On the
basis of this information, you stated that the average height of
all students in your university or college is 67 inches. This is
an example of ?
A. Descriptive statistics
B. Inferential Statistics
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C. Parameter
D. Population
65. Which one of the following measurement does not divide a set
of observations into equal parts ?
A. Quartiles
B. Standard Deviations
C. Percentiles
D. Deciles
E. Median
66. Which of the following is not based on all the observations ?
A. Arithmetic Mean
B. Geometric Mean
C. Harmonic Mean
D. Weighted Mean
E. Mode
67. The height of a student is 60 inches. This is an example
of________________?
A. Qualitative data
B. Categorical data
C. Continuous data
D. Discrete data
68. In statistics, a sample means______________?
A. A portion of the sample
B. A portion of the population
C. all the items under investigation
D. none of the above
69. The mean deviation of the values, 18, 12, 15 is____________?
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A. 6
B. Zero
C. 3
D. 2
70. Which of these is a relative measure of dispersion_____________?
A. Standard Deviation
B. Variance
C. Coefficient of Variation
D. None of these
71. Which one is the not measure of dispersion?
A. The Range
B. 50th Percentile
C. Inter-Quartile Range
D. Variance
72. In statistics, conducting a survey means_____________?
A. Collecting information from elements
B. Making mathematical calculations
C. Drawing graphs and pictures
D. None of the above
73. Which branch of statistics deals with the techniques that are
used to organize, summarize, and present the data?
A. Advanced Statistics
B. Probability Statistics
C. Inferential Statistics
D. Descriptive Statistics
E. Bayesian Statistics
74. Statistic is a numerical quantity, which is calculated from?
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A. Population
B. Sample
C. Data
D. Observations
75. Data in the Population Census Report is____________?
A. Grouped data
B. Ungrouped data
C. Secondary data
D. Primary data
E. Arrayed data
76. When data are collected in a statistical study for only a
portion or subset of all elements of interest we are using?
A. A sample
B. A Parameter
C. A Population
D. Both b and c
77. In descriptive statistics, we study______________?
A. The description of decision making process
B. The methods for organizing, displaying, and describing
data
C. How to describe the probability distribution
D. None of the above
78. In inferential statistics, we study____________?
A. the methods to make decisions about population based
on sample results
B. how to make decisions about mean, median, or mode
C. how a sample is obtained from a population
D. None of the above
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79. A constant variable can take values______________?
A. Zero
B. Fixed
C. Not fixed
D. Nothing
80. A chance variation in an observational process is_____________?
A. Dispersion/ Variability
B. Measurement error
C. Random error
D. Instrument error
81. Population census is conducted through_______________?
A. Sample survey
B. Accounting
C. Investigation
D. Complete enumeration
82. Life of a T.V picture tube is a____________?
A. Discrete variable
B. Continuous variable
C. Qualitative variable
D. Constant
83. The grouped data is also called_____________?
A. Raw data
B. Primary data
C. Secondary data
D. Qualitative data
84. The first hand and unorganized form of data is
called_______________?
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A. Secondary data
B. Organized data
C. Primary data
D. None of these
85. Which of these represent qualitative data______________?
A. Height of a student
B. Liking or disliking of (500) persons of a product
C. Income of a government servant in a city
D. Yield from a wheat plot
86. Sum of dots when two dice are rolled is____________?
A. a discrete variable
B. a continuous variable
C. a constant
D. a qualitative variable
87. If a distribution is abnormally tall and peaked, then is can be
said that the distribution is_____________?
A. Leptokurtic
B. Pyrokurtic
C. Platykurtic
D. Mesokurtic
88. If the standard deviation of a population is 9, the population
variance is_____________?
A. 9
B. 3
C. 21
D. 81
89. Which of the following is not a measure of central tendency ?
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A. Percentile
B. Quartile
C. Standard deviation
D. Mode
90. The sum of the deviations about the mean is
always______________?
A. Range
B. Zero
C. Total Standard Deviation
D. Positive
E. Negative
91. The mean of a distribution is 23, the median is 24, and the
mode is 25.5. It is most likely that this distribution
is_____________?
A. Positively Skewed
B. Symmetrical
C. Asymptotic
D. Negatively Skewed
92. Which of the following describe the middle part of a group of
numbers ?
A. Measure of Variability
B. Measure of Central Tendency
C. Measure of Association
D. Measure of Shape
93. The mean of a distribution is 14 and the standard deviation is
5. What is the value of the coefficient of variation ?
A. 60.4%
B. 48.3%
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C. 35.7%
D. 27.8%
94. Which of the following is not based on all the observations ?
A. Arithmetic Mean
B. Geometric Mean
C. Harmonic Mean
D. Weighted Mean
E. Mode
95. You asked five of your classmates about their height. On the
basis of this information, you states the average height of all
student in your university or college is 67 inches. This is an
example of____________?
A. Descriptive statistics
B. Inferential Statistics
C. Parameter
D. Population
96. making a entrance slip in service hospital is the method of
collection of data by______________?
A. Registration
B. Entry
C. Correspondents
D. none of these
97. Results obtained by counting are_____________?
A. Continuous
B. Discrete
C. Both (a) and (b)
D. None of these
98. Eyes color of employees is the example of____________?
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A. Continuous variable
B. Constant variable
C. Discrete variable
D. Attribute
99. f1x12 + f2x22 + —————+ fxx42=___________?
A. Σu1=1 ƒ ixi2
B. Σni-1 ƒ ixi2
C. Σpi=1 ƒ ixi2
D. Σmi=1 ƒ ixi2
100. Data published by Bureau of statistics in its publications are
_______________?
A. Secondary data
B. Discrete data
C. Continuous data
D. None
101.
102. Data regarding opinions of consumers about some product
obtained through lady workers are ____________?
A. Cheapest method
B. Existing Sources
C. Primary
D. Secondary
103. Continuous variable can assume __________ value?
A. All possible
B. Constant
C. Accuracy
D. Specific
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104. Usually measurements give rise to ________ data?
A. Discrete
B. Specific
C. Continuous
D. Constant
105. Data being used by an agency which is originally collected by
them are _______ data?
A. Quantitative
B. Primary
C. Discrete
D. Secondary
106. Dependence of difference on statistics is for_______________?
A. Two reasons
B. Short run
C. Three reasons
D. Natural Sciences
107. Statistics laws are true for______________?
A. Short run
B. Long run
C. Medium period
D. None of these
108. Statistical Laws are valid in the ________________?
A. Long run
B. Plural sense
C. indefinite
D. Short run
109. The word statistics is at present used in _______________?
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A. Two ways
B. Four ways
C. Six ways
D. Three way
110. A characteristics that does not change is called______________?
A. variable
B. Attribute
C. Constant
D. None of these
111. _________ used the word statistics for the first time during one
of his lectures at a German university?
A. Fisher
B. unavoidable
C. Feet
D. Achenwall
112. _________ statistics deals with collection, presentation and
analysis of data?
A. Inferential
B. Descriptive
C. Collection
D. Two
113. Most of the recent developments in statistics arose to meet
the needs of ____________?
A. Biology
B. Three reasons
C. Hands
D. Physics
114. Statistics Laws are true________________?
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A. In each case
B. Average
C. Facts
D. Field
115. A Constant can assume _______ value?
A. One
B. Four
C. More than value
D. Resindent
116. ___________ data are collected for the first time.
A. Research
B. Statistical
C. Secondary
D. Primary
117. Age of a shopkeeper is the example of___________?
A. Qualitative
B. Quantitative data
C. Variable data
D. Continuous data
118. Identify the attribute?
A. Blood group
B. Blood Pressure
C. Temperature of room
D. Religions of people of a country
119. Proportion becomes percentage when multiplied
by___________?
A. 1/10
B. 1/1000
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C. 1/100
D. 100
120. Marital status of an individual is the example of___________?
A. Attribute
B. Discrete variable
C. Continuous variable
D. Constant
121. Which branch of statistics deals with the techniques that are
used to organize, summarize, and present the data?
A. Advance Statistics
B. Descriptive Statistics
C. Inferential Statistics
D. Bayesian Statistics
122. In descriptive statistics, we study:
A. The description of decision making process
B. The methods for organizing, displaying, and describing
data
C. How to describe the probability distribution
D. None of the above
123. Life of a T.V picture tube is a:___________?
A. Discrete variable
B. Continuous variable
C. Qualitative variable
D. Constant
124. According to the empirical rule, approximately what percent
of the data should lie within μ±σ?
A. 75%
B. 99.7%
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C. 90%
D. 95%
125. The middle value of an ordered array of numbers is
the____________?
A. Mode
B. Mean
C. Median
D. Mid Point
126. Which of the following divides a group of data into four
subgroups?
A. Percentiles
B. Deciles
C. Median
D. Quartiles
E. Standard Deviation
127. The weights of students in a college/school is a___________?
A. Discrete Variable
B. Continuous Variable
C. Qualitative Variable
D. None of these
128. The number of accidents in a city during 2012 is____________?
A. Discrete variable
B. Continuous variable
C. Qualitative variable
D. Constant
129. The data which have already been collected by some one are
called____________?
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A. Raw data
B. Array data
C. Secondary data
D. Fictitious data
130. Primary data and _____________ data are same?
A. Grouped
B. Secondary data
C. Ungrouped
D. None of these
131. A parameter is a measure which is computed from___________?
A. Population data
B. Sample data
C. Test statistics
D. None of these
132. Questionnaire survey method is used to collect____________?
A. Secondary data
B. Qualitative variable
C. Primary data
D. None of these
133. In a distribution of 10, 20, 30, 40, 50, the x is 30, the sum of
deviations from x will be:________?
134. A: 60
B: 30
C: Zero
D: 15
135. Which of the measures given here are based on every item of
the series (uses all observations)?
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136. A: Range
B: Standard Deviation
C: Quartile Deviation
D: All of them
137. The most repeated (popular) value in a data set is
called___________?
A. Median
B. Mean
C. Mode
D. Geometric Mean
E. Harmonic Mean
138. If any of the value in data set is negative then it is impossible
to compute:_____________?
A. Arithmetic Mean
B. Harmonic Mean
C. Geometric Mean
D. Mode
E. Median
139. To find the average speed of a journey which is the
appropriate measure of central tendency?
A. Mean
B. Geometric Mean
C. Harmonic Mean
D. Weighted Mean
E. Mode
140. Arithmetic Mean is___________affected by extreme values?
A. Not
B. Highly
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C. Less
D. None of these
141. The sum of values divided by their number is called___________?
A. Median
B. Harmonic Mean
C. Mean
D. Mode
E. None of these
142. Variance is always calculated from___________?
A. Mean
B. Variance
C. Geometric Mean
D. Median
E. Mode
143. The sum of squares of deviation is least if measure
from__________?
A. Mean
B. Mode
C. Median
D. Variance
144. In Statistics, a population consists of:_____________?
A. All People living in a country
B. All People living in the are under study
C. All subjects or objects whose characteristics are being
studied
D. None of the above
145. The Number of road accidents is the example of____________?
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A. variable
B. Constant
C. Discrete variable
D. Continuous variable
146. Major area of statistics today is concerned with drawing of
conclusions from__________?
A. Samples
B. Primary
C. Two
D. Complete study
147. Statistics has handicap dealing with_____________?
A. Constant
B. Variable
C. Quantitative data
D. Qualitative data
148. Village Patwari collecting the data about cotton crops is the
example of_____________?
A. variable
B. Constant
C. Primary data
D. Secondary data
149. The data collected by NADRA to issue National Identity cards
are______________?
A. Official data
B. un-official data
C. Primary data
D. Secondary data
150. Census reports used as a source of data is____________?
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Basic Statistics MCQs
32
A. Primary source
B. secondary source
C. Organized data
D. none
151. A numerical value calculated from sample is called____________?
A. Mathematics
B. Economics
C. Statistic
D. None of these
152. In statistics, a sample means__________?
A. A portion of the sample
B. A portion of the population
C. All the items under investigation
D. None of the above
153. In natural Sciences, statistics____________.
A. Has no role
B. Average
C. Plays an Important role
D. Study
154. Statistics tests the law of ____________?
A. Other sciences
B. physics
C. Business
D. Literary subjects
155. Use of Statistics in planning is ____________?
A. Useless
B. Various Methods
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Basic Statistics MCQs
33
C. Unavoidable
D. Samples
156. Statistics is the backbone of_____________?
A. Economics
B. Mathematics
C. Research
D. Computer
157. The word statistics is defined as_____________?
A. Singular Sense
B. Plural Sense
C. Singular as well as plural sense
D. Non of these
158. In the plural sense, statistic means____________?
A. Methods
B. Data
C. Science
D. Meteorology
159. Statistics are ___________ expressed?
A. Descriptive
B. Ability
C. Qualitatively
D. Quantitatively
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Statistic Binomial and Hyper-Geometric Probability MCQs
1
1. Each trial in Binomial distribution has:_________________?
A. One Outcome
B. Two Outcome
C. Three Outcome
D. Four Outcome
2. In which distribution successive trials are without
replacement:____________________?
A. Hypergeometric distribution
B. Binomial distribution
C. Poisson distribution
D. Geometric distribution
3. In hypergeometric distribution, the trial are:_______________?
A. Independent
B. Dependent
C. Collectively Exhaustive
D. None
4. The mean of hypergeometric distribution is:___________________?
A. Nk/N
B. N-k/n
C. nN/k
D. n+k/N
5. Which of the following is not the property of binomial
distribution ?
A. n is fixed
B. Has two outcomes
C. Trials are independent
D. Probability of success varies from trial to trial
6. Hypergeometric distribution has parameter:_____________________?
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Statistic Binomial and Hyper-Geometric Probability MCQs
2
A. 2
B. 1
C. 3
D. 4
E. No
7. In a binomial probability distribution it is impossible to
find______________?
A. P(X < 0)
B. P(X = 0)
C. P(X > 0)
D. p(0 ≤ X≤ n)
8. The mean of binomial distribution is:__________________?
A. npq
B. np
C. √npq
D. √np
E. nq—√
9. The probability of success changes from trial to trial
in:___________________?
A. Binomial distribution
B. Geometric distribution
C. Sampling distribution
D. Hypergeometrical distribution
10. The mean and the variance are equal in________________?
A. All probability distribution
B. The hypergeometric distribution
C. The binomial distribution
D. The Poisson distribution
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Statistic Binomial and Hyper-Geometric Probability MCQs
3
11. If mean of the binomial probability distribution is 4.8, then
variance of this distribution is :_______________?
A. -2.3
B. 5.3
C. -4.8
D. 2.3
12. When ‘n’ becomes very large, binomial distribution tends to
______________?
A. Poisson dist
B. Standard dist
C. Normal dist
D. Hyper-geometric distribution
13. For a binomial distribution with n = 15 as p changes from. 50
toward. 05 the distribution will__________?
A. Become more positively skewed
B. Become more negatively skewed
C. Become symmetrical
D. All of the above.
14. In a binomial distribution, n = 10 p= 3/5, its mean
is:_________________?
A. 6
B. 1
C. 2/5
D. None of these
15. Which of the following case is true for hyper geometric
distribution________________?
A. Probability remains constant for all the trials.
B. Probability changes from trial to trial
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Statistic Binomial and Hyper-Geometric Probability MCQs
4
C. Successive trial are dependent
D. Both (b) & (c) but not (a)
16. The binomial distribution is symmetrical when:______________?
A. P > q
B. P = 1/2
C. Probability of success & probability of failure are equal
D. Both (b) & (c) but not (a)
17. What is the mean of binomial distribution ____________?
A. X
B. n x p
C. n(1 – 1)
D. ∑fx/∑f
18. Binomial probability distribution is denoted by b(x ; n, p), is
defined as _______________?
A. {nx}px qn-x
B. {nx}px(1 – P)x-n
C. nCxpnqnx
D. {nx}p(1 – P)x
19. Binomial word discovered at the end of ________________?
A. 14th century
B. 12th century
C. 10th century
D. 17th century
20. There are ____________ parameter in Binomial distribution?
A. n, q
B. n, p, q
C. q, p
D. n, p
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Statistic Binomial and Hyper-Geometric Probability MCQs
5
21. The experiment is repeated a _____________ number of times?
A. Times
B. Fixed
C. Expansion
D. Trial
22. If p= 0.1 and n = 400 then mean _______________?
A. 60
B. 30
C. 20
D. 40
23. Binomial distribution ranges from _______________?
A. 1 to n
B. 0 to n
C. 1 to ∞
D. 0 to ∞
24. In a binomial distribution mean and variance is ________________?
A. Variance > mean
B. Mean < variance
C. Variance ≠ mean
D. None of these
25. If mean and variance are not equal then distribution
________________?
A. None
B. Symmetrical
C. Skewed
D. Equal
26. (q + p) has variance is ______________?
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Statistic Binomial and Hyper-Geometric Probability MCQs
6
A. 6 pq
B. npq
C. 7 pq
D. 3 pq
27. Binomial distribution is positively skewed when ______________?
A. p > q
B. P = q
C. p < q
D. P/q
28. In binomial experiment, the experiment is repeated
______________?
A. n; fixed number of times
B. a large number times
C. n; where n < 0
D. n = 100
29. In binomial distribution with ________ trials mean is np and
variance is npq?
A. Dependent
B. Independent
C. Linear
D. Equal
30. The mean and variance of binomial distribution are
______________?
A. Unequal
B. Equal
C. Symmetrical
D. None
31. Mean of the binomial distribution is ______________?
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Statistic Binomial and Hyper-Geometric Probability MCQs
7
A. Pq
B. nP
C. xm
D. Non of these
32. The mean of a binomial distribution is
always:____________________?
A. Equal to variance
B. Less than variance
C. Greater than varince
D. None of these
33. In binomial experiment, the probability of success is denoted
by __________________?
A. P
B. q
C. P
D. 1 -P
34. Binomial distribution is symmetrical when P=___________________?
A. n
B. x
C. q
D. 1 – P
35. Binomial distribution has _______ parameter?
A. 4
B. 3
C. 2
D. 6
36. Successive trials in binomial distribution are:__________________?
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Statistic Binomial and Hyper-Geometric Probability MCQs
8
A. Dependent
B. Independent
C. Equally Likely
D. Mutually exclusive
E. Non
37. In binomial distribution n=6 and p=0.9, then the value
of______________?
A. P(X=7) is
B. One
C. Less than zero
D. Zero
E. More than zero
38. A random variable X has binomial distribution with n = 10 and
p = 0.3 then variance of X is:_____________________?
A. 10
B. 12
C. 2.1
D. 21
E. None
39. If in a binomial distribution n = 1 then E(X) is:____________________?
A. q
B. p
C. 0
D. 1
40. The mean, median and mode for binomial distribution will be
equal when:______________?
A. p= 0.5
B. P 0.5
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Statistic Binomial and Hyper-Geometric Probability MCQs
9
D. p = 1
E. None of these
41. Binomial distribution is negatively skewed
when:__________________?
A. p=0
B. p>1/2
C. p=1/2
D. p=1/3
42. Binomial distribution has parameters:______________?
A. Three
B. Two
C. One
D. Four
E. None
43. The variance of binomial distribution is always:________________?
A. Less than mean
B. Equal to mean
C. Greater than mean
D. Equal to standard deviation
E. None of these
44. Binomial distribution is symmetrical when:_________________?
A. p = q
B. p > q
C. p > q
D. np > npq
45. The successive trials are with replacement in:________________?
A. Hpergeometric distribution
B. Binomial distribution
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Statistic Binomial and Hyper-Geometric Probability MCQs
10
C. Geometric distribution
D. None of these
46. Which of the following is not a condition of the binomial
distribution ?
A. Only 2 possible outcomes
B. Have constant probability
C. Must have at least 3 trials
D. Trials must be independent
47. if in a binomial probability distribution mean and variance are
6 and 2.4 respectively, then the parameters of this distribution
are:____________________?
A. n = 10, p = 6/10
B. n = 50, p = 6/50
C. n = 10, p = 3/5
D. n = 10, p = 2/5
48. In a binomial distribution, n = 20 and p = 3/5, then variance of
this distribution ______________?
A. 60
B. 12
C. 4.8
D. 0
49. Variance of binomial distribution is always:______________?
A. Less than mean
B. Greater than mean
C. Equal to mean
D. Less than equal to mean
50. What is the variance of binomial distribution __________________?
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Statistic Binomial and Hyper-Geometric Probability MCQs
11
A. n p
B. np (1 – p)
C. np/q
D. nq/p
51. The sum of p and q is always:___________________?
A. 0
B. 2
C. 1
D. None of these
52. If in binomial distribution p ≠ q, the distribution
is:___________________?
A. Positively skewed
B. Negative skewed
C. May be positive skewed or negative skewed.
D. None of these
53. The binomial distribution is positively skewed
when:________________?
A. p > q
B. p < q
C. p = q
D. both (a) and (b
54. If 5 dice are rolled 96 times then N. =___________?
A. 5
B. 96
C. 5/96
D. 96/5
55. If a Binomial experiment is repeated ‘N’ times then binomial
frequency distribution is. _______________?
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Statistic Binomial and Hyper-Geometric Probability MCQs
12
A. N.{nx}px qn-x
B. N p q
C. N.{n/x}px qn-x
D. N.{n/x}p qn-x
56. For a binomial distribution?
A. n must assume a number between 1 and 20 or 25
B. p must be a multiple of 10
C. There must be at least 3 possible outcomes
D. None of these
57. If _________ then the distribution is positively skewed?
A. p < q
B. q/p
C. p > q
D. p > 1/2
58. Which of the following is not a requirement for binomial
distribution ?
A. Constant Probability of Success
B. Only two possible outcomes
C. A fixed number of trials
D. Equally likely outcomes
59. In a binomial distribution mean and variance is _________________?
A. Variance > mean
B. Mean < variance
C. Variance ≠ mean
D. None of these
60. If u = 5 and S.D. = 2.5 then Binomial distribution are
________________?
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Statistic Binomial and Hyper-Geometric Probability MCQs
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A. Unequal
B. Wrong
C. Fair
D. None of these
61. Binomial distribution is used when ___________ is large?
A. nP
B. nq
C. p
D. n
62. Binomial distribution is used when n is ____________________?
A. Large
B. Small
C. Zero
D. Normal
63. Binomial distribution is symmetrical when P=_________________?
A. 1/q
B. 1
C. q
D. 2q
64. The hypergeometric probability distribution is used rather
than the binomial or Poisson when the sampling is performed ?
A. With replacement
B. With out replacement from an infinite population
C. With out replacement from a finite population
D. With replacement from a finite population
65. In a binomial distribution the probability of ___________ changes
from trial to trial?
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Statistic Binomial and Hyper-Geometric Probability MCQs
14
A. Failure
B. Experiment
C. Success
D. Out come
66. When X denotes the number of success in binomial experiment,
it is called ________________?
A. Random variable
B. Binomial random variable
C. Continuous random variable
D. Both (b) and (c) but not (a)
67. In binomial experiment successive trials are ______________?
A. Dependent
B. Independent
C. May be inependent or dependent
D. None of these
68. In binomial experiment, the successive trials are _____________?
A. Dependent
B. independent
C. Related
D. constant
69. In the binomial experiment, the outcomes of each trial maybe
classified into ______________?
A. Success
B. Failure
C. Success or Failure
D. None of these
70. A binomial random variable can assume values from _________ to
n?
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Statistic Binomial and Hyper-Geometric Probability MCQs
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A. 6
B. 3
C. 2
D. 0
71. In binomial distribution the probability of success remains
__________ from trial to trial?0
A. Constant
B. Varies
C. Four
D. Probability
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Statistic Index Number MCQs
1
1. The formula ∑pnqn/poqn x100 is used to calculate?
A. The Laspeyres price index
B. The Paasche price index
C. The Paasche quantity index
D. The Laspeyres quantity index
2. The Laspeyres price index_____________?
A. Regards the base year quantities as fixed
B. Regards the base year price as fixed
C. Regards the current year quantities as fixed
D. non of these
3. This index measure the change from month to month in the cost
of a representative ‘basket’ of goods and services of the type
bought by a typical household?
A. Laspeyres Price Index
B. Financial time Index
C. Paasche Price Index
D. Retail Price Index
4. A simple aggregate quantity index is used to______________?
A. Measure the change in quantity of product
B. Measure the overall change in price of a range of products
C. Measure the overall change in quantity of range of product.
D. Measure the change in price of a product
5. An index number is used______________?
A. To measure changes in quantity
B. To measure changes in price
C. To measure changes in a variable over time
D. To measure changes in demand
6. Fisher’s ideal index number is also obtained by _______________?
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Statistic Index Number MCQs
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A. Taking A.M. of Laspeyre’s and Paasche’s index
B. Taking G.M. of Laspeyre’s and Paasche’s index
C. Both (a) and (b)
D. None of these
7. Base year quantities are used as weights in _______________?
A. Laspeyre’s index
B. Paasche’s index
C. Fisher’s index
D. None of these
8. Volume index in Marshall is _______________?
A. ∑pn(Po + Pn)/ ∑pn (Po + Pn)
B. ∑qn(qo + qn)/∑qn(po + pn) x100
C. ∑pn(qo + qn)/∑pn
D. ∑qn(Po + Pn)/ ∑qo (Po + Pn) x100
9. The Index number are used to measure seasonal and cyclical
variations in ____________?
A. Wholesale
B. Relatives
C. commodities
D. Time series
10. The weighty system changed with _______________?
A. Yearly
B. Basely
C. Timely
D. Averagely
11. Link relative = ________________?
A. Pn/Po x 100
B. Pn/Po x 100
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Statistic Index Number MCQs
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C. Pn/ Pn-1 x100
D. Pn/P1 x 100
12. Single number which shows ___________ changes in a phenomenon
is called an Index Number?
A. Overall
B. Same
C. Variation
D. Capable
13. An Index number which measure the change of a _____ is called
Aggregative 1. No?
A. Industrial activity
B. Retail price
C. Cost of living
D. Goods consumed
14. The object of Index number also determines its _______________?
A. Index Number
B. Special purpose
C. Reliable
D. Scope
15. Average calculated used in index number by __________ method?
A. Three
B. Two
C. Four
D. One
16. G.M. between __________ is called to be Fisher’s Index Number?
A. Paasche’s Index Number
B. Marshall and Laspeyr’es
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Statistic Index Number MCQs
4
C. Laspeyre’s and Paasche’s
D. Fisher and Paasche’s
17. An Index number of an average quality of wheat in
Lahore__________ Index?
A. Volume Index Number
B. value Index Number
C. Quantity Index Number
D. Weighted Index Number
18. Consumer price Index Number also called _________ is designed to
measure changes?
A. Cost Living Index number
B. Whole Sale Index number
C. weighted Index Number
D. Consumer Index Number
19. All Index numbers are not suitable for all _________________?
A. Kind
B. Chain relative
C. Purpose
D. Price
20. A scaling factor is used to_________________?
A. Change a simple index to a weight index
B. Convert the Paasche index to a Laspeyres index
C. Change the base year
D. change an aggregate index to a weighted index
21. The formula ∑poqn/∑poqo x100 is used to
calculate_______________?
A. The Laspeyres price index
B. The Paasche quantity index
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Statistic Index Number MCQs
5
C. The Laspeyres quantity index
D. The Paasche price index
22. The Laspeyres and Paasche index are examples
of_________________?
A. Aggregate index numbers
B. Weighted index numbers
C. Weighted price index only
D. Weighted quantity index only
23. A simple aggregate price index_____________?
A. Ignores relative quantities
B. Compares relative quantities to relative prices
C. Compares absolute prices to absolute quantities
D. Compares relative quantities
24. The ratio of a new price to the base year price is called
the___________?
A. Price decrease
B. Price absolute
C. Price increase
D. Price relative
25. The index number of base period is always:_______________?
A. 100
B. 200
C. The price of that year
D. None of these
26. Which of the formula is used in chain indices: ________________?
A. ∑pn/∑po x100
B. pn/po x100
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Statistic Index Number MCQs
6
C. pn/pn-1 x100
D. Both (a) and (b) but not (c)
27. Paasche’s Index number is ______________?
A. ∑pnqo/∑poqo
B. ∑pnqo/∑pnqo x100
C. ∑pnqn/∑poqo
D. ∑pnqn/∑poqn x100
28. Link relative = ________________?
A. Pn/pn-1 x100
B. Pn/Po x10
C. Pn/Po x100
D. None of these
29. In Chain base method, the base period is ________________?
A. Fixed
B. Constant
C. Change
D. None of these
30. Volume Index in Marshall is ____________?
A. ∑Pn(Po + Pn)/∑Pn(Po + Pn)
B. ∑Pn(qo + qn)/∑Pn
C. ∑Pn(Po + Pn)/∑Pn(Po + Pn) x100
D. Non of these
31. Qon means _________ for the given year?
A. Price
B. Commodity
C. Quantity in current
D. Quantity Index
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Statistic Index Number MCQs
7
32. Index Number is an important role in the field of Economic and
________________?
A. Science
B. Education
C. Intelligence
D. Business
33. Nos. is a ____ for measuring changes in a variable or a group of
related variables?
A. variable
B. Region of goods
C. Device
D. Cost
34. Measure the change in quantity of goods are called
________________?
A. Simple 1. No.
B. Aggregative 1. No.
C. Appropriate
D. Quantity Index Number
35. Price in proceeding year used in the method is called __________?
A. Fixed Method
B. Chain Method
C. Aggregation Method
D. Volume
36. Weighted Index number can be classified into _________
categories?
A. Four
B. Three
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Statistic Index Number MCQs
8
C. Five
D. Two
37. Ratio between given year and base year is called __________ in
percentage?
A. Price relative
B. Link relative
C. Retail prices
D. None of these
38. An Index Number calculated for more than one items is called
___________?
A. Sensitive Price Index number
B. Consumer Index Number
C. Simple Aggregation 1. Number
D. Chain Indices
39. The index numbers are used to measure seasonal and cyclical
variations in __________?
A. Commodities
B. Time Series
C. Whole sale
D. Realtives
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Statistic Measures of Dispersion MCQs
1
1. Mean deviation, Variance and Standard Deviation of the values 4,4,4,4,4,4 is_______________?
A. 4 B. 8 C. 2 D. 0
2. The variance of 5 numbers is 10. If each number is divided by 2, then variance of new number is_____________?
A. 20 B. 5 C. 2.5 D. 0
3. The mean deviation of the values, 18, 12, 15, is_______________?
A. 6 B. Zero C. 3 D. 2
4. Lowest value of variance can be____________?
A. 1 B. -1 C. 3 D. 0
5. If the standard deviation of the values 2,4,6,8 is 2.33, then the standard deviation of the values 4,6,8,10 is_____________?
A. 0 B. 2.58 C. 4.66 D. 2.33
6. If Y=-8X – 5 and SD of X is 3, then SD of Y is______________?
A. 8 B. 3 C. 24 D. None of these
7. Variance remains unchanged by change of_____________?
A. Origin B. Scale C. Both D. None of these
8. If all values are same then the measure of dispersion will be?
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Statistic Measures of Dispersion MCQs
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A. 1 B. 0 C. Mean D. Mode E. Median
9. The shape of the symmetrical distribution is _______?
A. U- Shaped B. J- Shaped C. Bell- Shaped D. None of these
10. The sum of absolute deviations from median is _____?
A. Zero B. Positive C. Least D. None of these
11. The variance of 4,4,4,4,4,4 is _______________?
A. 4 B. (4)2 C. 8 D. None of these
12. If third moment about mean is equal to zero, then distribution is ______________?
A. Negatively skewed B. Symmetrical C. positively skewed D. None of these
13. If variance iv standard deviation is minimum if the deviation taken from______________?
A. Mode B. Mean C. Average D. G.M.
14. ________ is the simplest means of dispersion?
A. Standard deviation B. Variation C. C.V. D. Range
15. First movement about mean is always equal to ___________?
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Statistic Measures of Dispersion MCQs
3
A. S.D. B. 1 C. Zero D. None of these
16. The standard deviation is affected by the value of every____________?
A. Relative Dispersion B. Observation C. Absolute D. Items
17. Check the consistency used _____________?
A. Coefficient of dispersion B. Mean coefficient C. Coefficient of variance D. Q.D.
18. __________ of the distribution which is measured relative to the distribution known as Normal?
A. Skewed B. Flatness C. Normal D. Moment
19. In symmetrical distribution, the co-efficient of skewness is equal to ______________?
A. -1 B. +1 C. 0 D. None of these
20. Quartile deviation is not capable of manipulation______________?
A. Easy B. mathematically C. Abjectly D. Algebraic
21. The measure of relative dispersion is called __________________?
A. Quartile deviation B. Mean dervation C. Mean coefficient D. Coefficient of quartile Deviation
22. Second moment about mean is always equal to _____________?
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Statistic Measures of Dispersion MCQs
4
A. S.D. B. C.V. C. Variance D. Square
23. The lack of uniformity is called ______________?
A. Lack B. variation C. X= 5 D. Skewness
24. If y= ax + b the S.D. of y is _______________?
A. Mean Deviation of x B. Minimum C. S.D. of x D. Maximum
25. If y= bx + c the range of y is ________?
A. Range of P B. Quartile of X C. Range of x D. Zero
26. which is poor measure of dispersion in open-end distribution ________________?
A. Quartile- deviation B. Semi-inter quartile range C. Range D. None of these
27. The frequency distribution mean > Median > Mode is called __________?
A. Negatively B. Symmetrical C. +vely D. One
28. The second moment about mean is _____?
A. Variance B. Mean C. S.D. D. Mode
29. suppose for 40 observation, the variance is 50. If all the observation are increased by 20, the variance of these increased observation will be_________?
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Statistic Measures of Dispersion MCQs
5
A. 50 B. 70 C. 50/20 D. 50-20=30
30. Standard deviation is always calculated from _____________?
A. Mean B. Median C. Mode D. G.M.
31. Mean deviation =______ S.D?
A. 2/3 B. 4/5 C. 5/6 D. 6/5
32. The sum of the squares of deviations is the least when measured from____________?
A. A.M. B. Median C. Mode D. G.M.
33. If Skewed distribution the three averages mean, median and mode are ________?
A. Identical B. Different C. Zero D. None of these
34. The sum of powers of deviation from mean is zero is called __________?
A. Mean B. Lack C. Normal D. Skewed
35. First moment about origin is always equal to _______________?
A. A.M. B. variance C. Zero D. None of these
36. The value of interval x ± S include _______________?
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Statistic Measures of Dispersion MCQs
6
A. 49.45% B. 95.45% C. 68.27% D. 99.73%
37. The ________ in the distribution around which the observation to lie?
A. Mean B. Dispersion C. Manner D. Central value
38. The S.D. and variance are ____ of origine?
A. Multiplied B. Variance C. Change D. Independent
39. Mean deviation is always ________________?
A. Equal to S.D. B. More than S.D. C. Less than S.D. D. Negative
40. The correct variance is define as the __________________?
A. varies of data P2/6 B. S.D. of data h2/12 C. M.D. of data h2/6 D. Variance of data h2/12
41. Mean deviation is equal to 4/5 of the _________ manipulation?
A. Quartile deviation B. Range C. Standard deviation D. Variance
42. In grouped data, the range is the difference between ________________?
A. Two extreme class boundaries B. Two extreme class frequency C. Two extreme class limits D. None of these
43. Relative measure of skewness was introduced by _____________?
A. Rowely B. Lack
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Statistic Measures of Dispersion MCQs
7
C. Karl Person D. Mode
44. Absolute sum of deviations is minimum from _______________?
A. Coefficient of variance B. S.D. of x C. Mean D. Normal
45. If y = bx + a the mean deviation of y is_____________?
A. S.D. of y B. var (x) C. S.D. of x D. M.D.of x
46. The degree to which numerical data tend to spread about an average value is a________________?
A. Range B. variance C. Minimum D. Dispersion
47. Range of 5,5,5,5, is ________________?
A. 0 B. 5 C. 25 D. None of these
48. The A.M. is greater than mode is equal to ______________?
A. +vely B. Skewness C. Negatively D. zero
49. In a symmetrical distribution mean, median and mode, _________________?
A. Positive B. Greater C. Less than D. Coincide
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Measures of Location MCQs
1
1. Combine mean calculated by different given mean is ________?
A. n1x1 + n2x2x + _____ nuxu/n1 +n2 + ___ + nu B. n1x1 + n2x2x + _____ nuxu/x1 + x2 + ____ x4 C. n1x1 + n2x2x + _____ nuxu/n1 + n2 + ___+ nu D. ∑n1x/x1
2. The median of numbers, 12, 22, 32,__(2n + 1)2 is given by______?
A. (n2 + 1) B. (2n + 1)2 C. (n + 1)2 D. (N – 1)2
3. A distribution is called _____ distribution if it has two modes?
A. Uni-modal B. Bi-model C. Tri-modal D. None of these
4. The median of F,K,E, Q, U, E, N, C,Y, is ________?
A. EUP B. LEY C. EUQ D. EFP
5. The frequent value of the data if it exists is called ________________?
A. Median B. Quartiles C. Mode D. Deciles
6. The mean of 5,5,5,5,5 is ______?
A. 1 B. 5 C. 6 D. 10
7. The median of the data 2, 4, 10, 8, 6 is _______________?
A. 6 B. 5 C. 10 D. None of these
8. Which of the following is not based upon all the observations _________?
A. A.M. B. G.M.
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Measures of Location MCQs
2
C. H.M. D. Mode
9. If any value in the data is zero, then which of the following average vanishes ______________?
A. A.M. B. G.M. C. Mode D. None of these
10. The sum of deviations of observations is zero, when deviations are taken from __________?
A. Mean B. Median C. Mode D. None of these
11. If any value in the data is negative, then it is impossible to calculate _______?
A. A.M. B. Mode C. H.M. D. G.M.
12. G.M. are set of ‘n’ values product of the nth roots of the ______________?
A. Given value B. All +ve, -Ve value C. Zero reject D. None of these
13. Quartiles, deciles are located from an ogive in a way________________?
A. Mode B. G.M. C. Median D. Quarlities
14. Average is good if it is easy to ____________?
A. Change B. Capable C. Understand D. Clear
15. G.M. of 2,4,8 is ______?
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Measures of Location MCQs
3
A. 6 B. 4 C. 14/3 D. 8
16. Median is always central value even if the data is _______?
A. Unassigned B. Arranged C. Continuous D. Discrete
17. Harmonic mean cannot be calculated if any one of the values in the data is _____________?
A. Zero B. Negative C. Positive D. All sign
18. Median is _______ than mean is a positive skewed distribution?
A. Great B. lesser C. Equal D. None of these
19. The Harmonic Mean of two number is ‘a’ and ‘b’ is given by ____________?
A. a+b/2 B. 2ab/a+b C. √ab D. None of these
20. Sum of obsolete deviations from _____ is least?
A. Mean B. Median C. Harmonic D. Mode
21. We must arrange the data before calculating _________?
A. Mean B. Median C. Mode D. G.M.
22. The mode of the data 2,4,6,6,6,8 is _______________?
A. 4 B. 6
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Measures of Location MCQs
4
C. 8 D. 30
23. The arithmetic mean of 10,8,6,4, and 2 is ______________?
A. 5 B. 15 C. 6 D. 30
24. Coded method of calculation is only used in ___________?
A. Median B. Combined mean C. A.M. D. None of these
25. If any value in the data is zero, then it is not possible to have _______?
A. A.M. B. Medain C. Mode D. H.M.
26. Group data formula for mode _______?
A. 1+ fm – f2/f1 – f2 x h B. 1+ f1 – f2/f2 – fm x h C. 1 + fm – f1/ (fm – f1) + (fm1 – f2) x h D. 1+ fm1 – f2/f1 – fm x h
27. If any value in the data is zero, then which of the following average vanishes_________?
A. A.M. B. G.M. C. H.M. D. None of these
28. Deciles means are 1/( )?
A. 1000 B. 10 C. 100 D. 10000
29. In moderately skewed distribution if _________________?
A. Mode = 3 median – 2 mean B. Mode = 2 median -3 mean C. Median = 2 median-3 mean D. Mean- mode
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Measures of Location MCQs
5
30. Third quartile = Q3 = ____________?
A. P33 B. D3 C. Median D. None of these
31. Mean is relatively ____ measure?
A. Stable B. manipulation C. Change D. Group
32. __________ deviation taken from A.M. is always equal to zero?
A. Mean B. Sum C. Average D. 2.D.
33. Median = Q2 = D5 =_________________?
A. P25 B. P55 C. P75 D. p50
34. If the smallest observation in a data is decreased, the average which is not affected is______________?
A. G.M. B. Median C. Mean D. Harmonic mean
35. The sum of square of deviation is least when measured from ____________?
A. Arbitrary value B. Mean C. Mode D. G.M.
36. H.M. _____ G.M. _______ A.M?
A. < B. ≥ C. ≤ D. >
37. The most frequent value in data is called ________________?
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Measures of Location MCQs
6
A. Mean B. Mode C. Median D. H.M.
38. We must arrange the data before calculating ______________?
A. Mean B. Median C. Mode D. G.M
39. The arithmetic mean _________ by 10 if 10 is added to all values?
A. Decease B. Smaller C. Largest D. Increase
40. Arithmetic mean is _________ by change of origin and scale of measurement?
A. Vary B. Negative C. Affected D. Not affected
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Statistic Normal Distribution MCQs
1
1. The Normal Curve is asymptotic to the?
A. None B. X-axis C. Y-axis D. Along Y=X
2. Normal Distribution ?
A. have no Mode B. Multi Modal C. Bi Modal D. Tri Modal E. Uni Modal
3. In case of symmetrical distribution?
A. β1=β4 B. Mean=Mode=Median C. µ1=µ4 D. µ1=µ2
4. If X ˜ N(16,49), the mean is___________?
A. 49 B. 16 C. 7 D. 4
5. If Y=5X + 10 and X is N(10,25), then mean of Y is ?
A. 135 B. 50 C. 70 D. 60
6. Area Under the normal curve on either side of mean is _____________?
A. 1 B. Mean value C. 0.5 D. 2 E. -1
7. Which of the following parameter control the relative flatness of normal distribution?
A. None B. Mode C. Standard Deviation D. Mean
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Statistic Normal Distribution MCQs
2
8. The shape of normal curve depends upon ?
A. None B. Mean C. Quartile D. Standard Deviation E. Mean Deviation
9. The value maximum ordinate of a standard normal curve at Z = 0 is:________?
A. 1 B. 0.5 C. 0.3989 D. None of these
10. In a certain normal distribution having µ = 35 and variance = 16, then mode will be_______________?
A. 3.5 B. 16 C. 4 D. None of these
11. If “X” is normally distribution with >µ= 8 and S.D. 4, then P(6≤X≤10) may be______________?
A. 0 B. -0.32 C. 1.2 D. 0.2684
12. In normal distribution β1 = 0 and β2 is equal to _____________?
A. 0.5 B. 1 C. 2 D. 3
13. For +ve and -ve skewed, check the sign of _______?
A. β1 B. µ2 C. β2 D. µ3
14. Total area under the normal curve is________?
A. 100 B. 1 C. 50% D. 1%
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Statistic Normal Distribution MCQs
3
15. Normal distribution is _____ distribution?
A. Symmetrical B. non-symmetrical C. + vely skewed D. -vely skewed
16. Area to the right of (z=0) is the area for ____ values of z?
A. Zero B. Negative C. Positive D. None of these
17. The standardized normal variate z means_________ away from the mean?
A. Mean B. S.D. C. Variance D. None of these
18. In a normal distribution, what is the z score associated with the mode ?
A. -1 B. 0 C. +1 D. None of these
19. If X ˜ N (µ, σ2) then Z ˜__________?
A. N(0, σ2) B. N(1, σ2) C. N(0, 1) D. N(1, 1)
20. Normal distribution is the distribution of _______________?
A. Discrete r.v. B. Continuous r.v. C. Qualitative variable D. Quantitative variable
21. In normal distribution, mean ______= Mode?
A. Quartile B. Mean deviation C. Median D. S.D.
22. Area of normal distribution total is equal to _______?
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Statistic Normal Distribution MCQs
4
A. Two B. One C. Four D. Three
23. Standard normal variable Z is___________?
A. x – µ /σ B. µ- x /σ C. σ – x/ µ D. x – σ/ µ
24. Every distribution tends to ____ distribution?
A. Small B. ∞ C. Large D. Finite
25. In normal distribution Q1=_________?
A. u + .6745 (S.D.) B. u – .7979 (S.D.) C. u + .6745 (S.D.) D. u – .6745 (S.D.)
26. If n ≥ 30 and _____ then binomial approaches to normal distribution?
A. q/p B. p = q C. pq D. p = n
27. The _____ order moments about mean are all zero?
A. None B. Four C. Add D. Even
28. In a normal distribution quartile deviation is _______ (S.D.)?
A. .2745 B. .3789 C. .79079 D. .6745
29. In Normal distribution, the parameter which controls the flatness of the curve is____________?
A. µ,σ B. None
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Statistic Normal Distribution MCQs
5
C. µ, MD D. 2∏—√,e
30. In a normal distribution E(X-µ)2 is________________?
A. Variance B. Mean Deviation C. Standard Deviation D. Quartile Deviation
31. Shape of normal curve can be related to_______________?
A. Bell B. Circle C. L D. Rectangle E. J
32. We use normal distribution when “n” is________________?
A. Small B. None C. Fixed D. Large
33. Total Area under the normal curve is_______________?
A. Greater than 1 B. 1 C. None D. Less than 1 E. 0
34. The lower and upper quartile of standard normal variation are respectively ?
A. µ+0.6745σ and µ-0.6745σ B. -0.6745 and 0.6745 C. -0.7979 and 0.7979 D. -0.7979σ and 0.7979σ
35. If X N(55,49) then σ ?
A. 7 B. 55 C. 104 D. 49
36. The median of normal distribution corresponds to the value of Z equal to_________________?
A. 0.5 B. 1
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Statistic Normal Distribution MCQs
6
C. µ D. 0
37. Mean deviation of Normal Distribution is_____________?
A. 45σ B. 34σ C. 78σ D. 23σ
38. The area under the normal distribution curve outside the interval of z=1 and z=3.09 is_____________?
A. None of the above B. 0.1477 C. 0.1597 D. 0.3413 E. 0.4990
39. The normal distribution is_________?
A. Platykurtic B. Leptokurtic C. Mesoukurtic D. None of these
40. In normal distribution Q.D. ( quartile deviation)is equal to________?
A. σ B. 0.7979 σ C. 0.6745 σ D. None of these
41. P95 means _____?
A. The central 95% area B. The point above above which95% area lies C. The point above below which 95% area lies D. Both (a) and (b) but not (c)
42. If β1 = 0 it means the distribution is _______________?
A. Symmetrical B. + vely skewed C. -vely skewed D. Non of these
43. The maximum of function is at_______________?
A. X = σ2 B. X = µ
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Statistic Normal Distribution MCQs
7
C. X = µ + σ D. X = 0
44. As the normal distribution is symmetrical, its mean, median and mode are:____________?
A. Coincide B. Not equal C. Different
45. In a standard normal distribution z = 0 corresponds to _____________?
A. Mean B. S.D. C. M.D. D. Q.D.
46. N(µ, 2σ) means normally distribution with mean u and variance2σ then (3σ, 4) means _____________?
A. 46 B. 76 C. 36 D. 47
47. The range of normal distribution lies between _________?
A. -∞ to +∞ B. 0 to ∞ C. -∞ to 0 D. None of these
48. 100% of values lies in the limits are equal to ______________?
A. 40 and 60 B. 20 and 70 C. 20 and 30 D. 20 and 80
49. Normal distribution has ___________?
A. 1 parameter B. 2 parameter C. 3 parameter D. 4 parameter
50. The shape of normal distribution does depend upon _____ and variance?
A. x B. S/σ2
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Statistic Normal Distribution MCQs
8
C. u D. 2 µ2
51. P(µ – σ≤x≤µ + σ)=_________?
A. .6826 B. .6743 C. .6745 D. .2345
52. For a normal distribution having µ = 241 and σ = 2 P (X≥235) is:_______?
A. 0.9986 B. 0.5 C. 0.475 D. 0.235
53. Normal distribution has ____shaped?
A. u-shaped B. Bell shaped C. T-shaped D. Normal shaped
54. The equation of standard normal distribution is f(z)=________?
A. 1/σ√2∏e 1/2×2 B. 1/σ√2∏e -1/2×2 C. 1/√2∏ D. 1/σ√2∏
55. In normal distribution u2 = S2 and u4 =___________?
A. 3S2 B. 3S C. 3S4 D. 4S2/x
56. The quartile deviation is ____ (S.D.) is normal dist?
A. .6734 B. .7879 C. .6745 D. .4567
57. Normal distribution has ______ parameter?
A. Three B. Two C. Four D. One
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Statistic Normal Distribution MCQs
9
58. Normal distribution is a probability distribution of _____ random variable?
A. Continuous B. Constant C. Discrete D. Normal
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Statistics Presentation of Data MCQs
1
1. For a given class 30-44 the midpoint will be ________________?
A. 30 B. 34 C. 37 D. 35
2. ________ paper is needed to show the graphs of frequency distribution?
A. Ordinary B. Graphs C. Photo D. Chart
3. When in a frequency distribution the maximum frequency occur at one end, then the frequency curve of such distribution is ________________?
A. J- shaped B. U- shaped C. Bell- shaped D. V- shaped
4. The graph obtained by joining the mid points of the tops of adjacent rectangles in histogram is called ______________?
A. Frequency polgon B. Ogive C. Pie chart D. Histgram
5. The lower class boundary of 25-35 will be ______________?
A. 20 B. 25 C. 30 D. 35
6. Class mark is the value which divides a class into ________ equal parts?
A. Four B. One C. Three D. Two
7. Any data collected by the investigator personally from the informants are called __________ data?
A. Primary B. Unofficial
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Statistics Presentation of Data MCQs
2
C. Group data D. None of these
8. data classified by methods are called __________ data?
A. Row data B. Grouped data C. Quantitative data D. Geographical E. None of these
9. A source note foot are the _______________?
A. Top B. Bottom C. Same D. Different
10. The difference between the upper and lower class boundaries of a class are know as _________________?
A. Class interval B. class mark C. class frequency D. Mid point
11. _______are used to represent data classified on qualitative?
A. Vertical bars B. Simple bar C. Horizontal bars D. Pie chart
12. The headings for various columns are said to be ________________?
A. Portions of column B. Vertical column C. Column table D. Column caption
13. Data classified by many _______ said to be Quantitative?
A. Characteristic B. Categories C. Affinities D. Attributes
14. Frequency table is an arrangement of data by classes together with their _______ class frequencies?
A. Terms B. Alternate class
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Statistics Presentation of Data MCQs
3
C. Same class D. Corresponding class
15. Data which have not been arranged in systematic order is called___________?
A. Group data B. Tabular data C. Raw data D. Undefined data
16. Range is the difference between largest and ___________?
A. Lowest B. Smallest C. Biggest D. Middlest
17. A graph consists of _________ lines?
A. Parallel Line B. Smooth curve C. Curve D. Straight
18. Cumulative frequency is the frequency _________ than the upper class boundary of a class?
A. Distribution B. Curve C. Greater D. Less
19. if we connect the mid point of rectangles in a histogram with a series of lines, we get __________
A. Mid point B. Interval C. Frequency curve D. Frequency Polygon
20. The smallest and the largest value of any given class of a frequency distribution are called ___________?
A. Class marks B. Class interval C. Mid point D. Class limit
21. The process of systematic arrangement of data into rows and columns is called _________?
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Statistics Presentation of Data MCQs
4
A. Bar chart B. Classification C. Tabulation D. None of these
22. Class interval size is the different between the upper and lower class_________ of a class?
A. Boundary B. Limits C. Marks D. Class Interval
23. Data which have been arranged in ascending or descending order is called ________ data?
A. Group data B. Classify C. Array D. ungrouped data
24. ____________ use the division of a circle into different sectors?
A. Frequency Polygon B. Conversion Graphs C. Sector Graph D. Line Graph
25. The graphs of the symmetrical distribution is _____________?
A. J- shaped B. U- shaped C. Bell- shaped D. None of these
26. In pie-chart, the arrangement of the angles of the different sectors generally ________________?
A. Anti-clockwise B. Arrayed C. Clock-wise D. Alternative
27. Cumulative frequencies are_________________?
A. Increasing B. Non- increasing C. Decreasing D. None of these
28. The class ___ are obtained when we divide the sums of the lower and upper class limits by 2?
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Statistics Presentation of Data MCQs
5
A. Limit B. Points C. Marks D. Class boundary
29. The process of systematic arrangement of data in rows and columns is called ___________________?
A. Classification B. Tabulation C. Frequency D. Frequency distribaution
30. There are ________ important bases of classification?
A. Two B. Four C. Three D. Five
31. Class _________ is the difference between two class limit?
A. Boundary B. Class mark C. None of these D. Class interval
32. Technical & Trade Journals are the source of ___________ data?
A. Primary B. Secondary C. Ungroup data D. Group data
33. A time series is an arrangement of data according to __________________?
A. Place B. Yearly C. Time D. None
34. A table has at least __________ part?
A. Two B. Three C. Four D. Five
35. There are _________ important bases of classification of data?
A. Two B. Four
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Statistics Presentation of Data MCQs
6
C. Six D. Three
36. The stub is the containing__________________?
A. Box head B. Column captions C. Caption D. Row caption
37. A ________ is a heading at the top of the table describing its contents?
A. Footnote B. Head note C. Sub note D. Title
38. Data arranging into rows and columns are called______________?
A. Frequency distribution B. Classification C. Table D. Tabulation
39. In constructing a histogram which is to be taken along X-axis__________?
A. Class interval B. Class frequency C. Class boundaries D. Class mark
40. We get ________ dividing range by numbers of class interval?
A. Class boundary B. Class marks C. Mid point D. Number of classes
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Statistics Probability MCQs
1
1. In a Poisson probability distribution __________________? A. The mean and variance of the distribution are same (equal) B. The probability of success is always greater than 5 C. The number of trials is always less than 5 D. it always contains a contingency table
2. Which of the following is not a correct statement about a Probability _________________? A. It must have a value between 0 and 1 B. It can be reported as a decimal or a fraction C. A value near 0 means that the event is not likely to occur/happens D. It is the collection of several experiment
3. The special rule of multiplication of probability, the events must be ______________? A. Independent B. Mutually exclusive C. Bayesian D. Empirical
4. if you roll a pair of dice, what is the probability that (at least) one of the dice is a 4 or the sum of the dice is 7 ? A. 4/36 B. 13/36 C. 21/36 D. 15/36
5. . If the occurrence of one event means that another cannot happen, then the events are _______________? A. Independent B. Mutually Exclusive C. Bayesian D. Empirical
6. 5C5 is equal to ________________? A. 5 B. 5×5 C. 1 D. None of these
7. The product of first ‘n’ natural numbers is _____________? A. 1.2.3.4,……… B. 1.2.3……(n-2) (n-1) (n) C. n. (n-1) (n-2)…………..3.2.1.0 D. None of these
8. If in a coin P(H) = 2P(T) then prob. of head is ______________?
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Statistics Probability MCQs
2
A. 1/3 B. 2/3 C. 1/2 D. 0
9. If P(A/B)=1/4 and P(A∩B) =1/5 then P(B) is ________________? A. 4/5 B. 1/20 C. 0 D. 1/9
10. The probability of getting at least one head when two balance coins are tossed once __________________? A. 1/4 B. 2/4 C. 3/4 D. 4/4
11. The probability of getting exactly three tails when three balanced coins are tossed once _______________? A. 1/8 B. 2/8 C. 5/8 D. 7/8
12. The probability that the sum is odd if two dice are thrown:_________________? A. 18/36 B. 9/36 C. 6/36 D. 12/36
13. A fair coin toss the total events in sample space equal_____________? A. 7 B. 16 C. 36 D. 6
14. A box containing 12 balls of color 6 red and 6 white. A ball of white selected ball finds the probability of white____________? A. 7/12 B. 6/12 C. 12/12 D. 4/12
15. The probability of drawing an even number in a toss of a balanced die ______________?
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Statistics Probability MCQs
3
A. 1/6 B. 2/6 C. 3/6 D. 6/6
16. The probability of drawing a picture card out of 52 cards is : ______________? A. 13/52 B. 12/52 C. 16/52 D. 3/52
17. The probability of an event cannot be _____________? A. Positive B. Zero C. None of these D. Negative
18. If an event consists of only one sample point is called _____________? A. Appeared B. Exactly C. Space D. Elementary event
19. The picture cards having in total fifty two cards is equal_________________? A. 16 B. 24 C. 12 D. Non of these
20. __________ are said to be exhaustive if they constitute the entire sample space? A. Equally B. Events C. Outcomes D. Objects
21. Events occurring together without affecting each other are called:_________________? A. Dependent events B. Independent events C. Equally likely events D. Mutually Exclusive events
22. The possibility of total outcome in a coin equal to _______________? A. Fifty % B. Twenty %
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Statistics Probability MCQs
4
C. 60% D. 30%
23. If the events have same chance of occurrence they are called:_______________? A. Equally likely events B. Exhaustive events C. Mutually Exhaustive events D. dependent events
24. Addition Law of probability for mutually exclusive event is equal _______________? A. P(AUB)=P(A) + (B) B. P(AUB) = P(A) + P(B) – P(A∩B) C. P(A∩B) = P(A) + P(B) + P(A∩B) D. P(A∩B) = P(A). P(B
25. If the occurrence of excludes the occurrence of the other is called ________________? A. Mutually exclusive B. Exchaustive C. Likely D. Probability
26. A set of events is said to be independent if probability of head on tossing a coin is _______________? A. 1/2 B. 2/3 C. 1 D. 3/4
27. Two event are said to be equally likely is ______________? A. As any other B. both event occurs C. One occurs D. not both occurs
28. A subset of the sample space is called _________________? A. Sample point B. Set C. Event D. Space
29. Which of the following is not an example of a discrete probability distribution ? A. The sale or purchase price of a house B. The number of bedrooms in a house C. Whether or no t a home has a swimming pool in it. D. Non of these
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Statistics Probability MCQs
5
30. The collection of one or more outcomes from an experiment is called:__________________? A. Probability B. Event C. Random Variable D. Z-Value E. Random Experiment
31. In special rule of addition of probability, the events are Always:_______________? A. Independent events B. Mutually Exclusive events C. Bayesian D. Empirical
32. The joint probability is _______________? A. The likelihood of two events happening together B. The likelihood of two events happening given that another event has already ha C. Based on two mutually exclusive events D. Also called Prior probability
33. If a card is chosen from a standard deck of cards, what is the probability of getting a five or a seven ? A. 4/52 B. 1/26 C. 8/52 D. 1/169
34. In which approach to probability the outcomes are equally likely to occur ? A. Classical Probability B. Subjective Probability C. Relative Frequency D. Independent
35. A listing of the possible outcomes of an experiment and their corresponding probability is called:______________? A. Random Variable B. Contingency table C. Bayesian table D. Probability distribution E. Frequency distribution
36. If a card is chosen from a standard deck of cards, what is the
probability of getting a diamond (♦) or a club (♣)? A. 26/52=1/2 B. 13/52
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Statistics Probability MCQs
6
C. 20/52 D. 12/52
37. If ‘A’ denotes the males of a town and ‘B’ denotes the females of that town, then A and B are:___________? A. Equal sets B. Over lapping sets C. Non- overlapping sets D. None of these
38. A∩B means:_______________? A. The elements of A or B B. The elements of A and B C. The elements A but not of B D. None of these
39. If P(A∩B) =1/4 then P(AUB) is ________________? A. 1/2 B. 1/3 C. 1/12 D. 3/8
40. If P(B/A)= 0.25 and P(A∩B) = 0.2 then P(A) will equal to _______________? A. 0.05 B. 0.75 C. 0.8 D. 0.45
41. A coin is so weighted that P (T) = 2P(H) then P(H) is _______________? A. 1/2 B. 1 C. 2/3 D. 1/3
42. The probability of getting exactly two heads when two balanced coins are toss once_________________? A. 1/4 B. 2/4 C. 3/4 D. 4/4
43. The square bracket is an finite G. Series is obtained by formula _________________? A. 1/1-rn B. a/1-r C. a/1-rn D. a/(1-r)n
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Statistics Probability MCQs
7
44. The probability of drawing same number on two dice if two dice are thrown _________________? A. 1/36 B. 6/36 C. 12/36 D. 18/36
45. The probability of drawing a diamond card out of 52 cards is ______________? A. 13/52 B. 1/2 C. 4/52 D. 0
46. All experiments have _______ properties in common? A. Four B. Three C. Two D. One
47. A experiment repeated number of time one by one is called _________________? A. Random B. Raw data C. Introduce D. Specified
48. A list of sample _________ is called sample space? A. Events B. Subset C. Piont D. Distinct
49. If two events can both occur at the same time then they are referred as:__________________? A. Dependent events B. Mutually Exclusive events C. Exclusive events D. Independent events
50. The probability of even/odd numbers when a fair die is rolled is____________? A. 1/6 B. 2/6 C. 1/36 D. 3/6
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Statistics Sample Linear Regression MCQs
1
1. If (AB) >(A) (B)/n __________ then A and B are?
A. Independent
B. Associated
C. Dis-associated
D. None of these
2. (A β C) is a frequency of attributes of order_______________?
A. 3
B. (2)
C. 1
D
3. If x and y are Independent to each other the coefficient of
correlation is _____________?
A. -1
B. +1
C. .6
D. 0
4. Two attributes are associated if expected frequency is
____________________?
A. Less than observed
B. Greater than observed
C. Equal to observed
D. None of these
5. In perfect association the value of coefficient of association is
______________?
A. (0)
B. +1
C. -1
D. non of these
6. Attributes are _______ if they have some relation?
A. Disassociation
B. In consistent
C. Associated
D. None of these
7. Richness is not a ________________?
A. Constant
B. Discreade
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Statistics Sample Linear Regression MCQs
2
C. Variable
D. Continuous
8. γxy is always equal to_____________?
A. γyx
B. -γyx
C. γx
D. γo2
9. To cut a population into three classes is called_______________?
A. Dichotomy
B. Capital
C. Tracheotomy
D. Attribute
10. The table representing two attributes is called________________?
A. Random table
B. Contingency table
C. Dichotomy table
D. Chi-square table
11. In r x c table for test of Independence the degree of freedom is
_____________?
A. r + c
B. rc
C. ι r – c ι
D. (r -1) (c -1)
12. If bxy = byx = r then ________________?
A. 6x < 6y
B. 6y < 6x
C. 6x = 6y
D. Non of These
13. If bxy = -.8 by x = 1.2 then value of r is ________________?
A. √.96
B. √-.96
C. 0
D. None of these
14. Correlation coefficient is ___________ with respect to x and y?
A. +vely
B. Non-normal
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Statistics Sample Linear Regression MCQs
3
C. Symmetrical
D. Skewed
15. In x = 2 _________ 6y the value of y are increasing by one unit then
values of x are?
A. Increasing by 6
B. Decreasing by 6
C. No change
D. Non of these
16. Correlation coefficient is _________ of origin and unit of
measurement?
A. Origin
B. Dependence
C. Independence
D. None
17. Correlation is _____________ of regression coefficients?
A. A.M.
B. G.M.
C. M.D.
D. H.M.
18. If x = 3 then value of regression co-efficient of X or Y is
________________?
A. (3)
B. (0)
C. -3
D. -4
19. In correlation, both variables are______________?
A. Random
B. Fixed
C. Non-random
D. Experimental
20. If y = 2 + 6x then value of y intercept is _________________?
A. 6
B. 2
C. 0
D. None
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Statistics Sample Linear Regression MCQs
4
21. A model is linear if it is linear in the dependent variable and
also in ______________?
A. Parameter
B. Independent variable
C. Error term
D. Non of these
22. The two regression co-efficient always have the __________ sign?
A. Different
B. Same
C. None of these
D. +ve
23. If r, between u = x and y = -x is _______________?
A. +1
B. -1
C. 0
D. Non of these
24. Which of the following can never be taken as coefficient of
correlation is _____________?
A. -99
B. .99
C. 0
D. √3
25. Correlation coefficient lies between__________________?
A. 0 ≤ r ≤ 1
B. 0 ≤ r ≤ -1
C. -1 ≤ r ≤ 1
D. 1 ≤ r ≤ 0
26. Regression co-efficient is denoted by_____________?
A. by
B. byx
C. bzx
D. m
27. When the two regression lines coincide there r is
__________________?
A. Zero
B. Less than zero
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Statistics Sample Linear Regression MCQs
5
C. More than zero
D. Great
28. The regression co-efficient are _________ origin?
A. Dependent
B. Independent
C. Scale
D. Both
29. Least square regression line always passes through
____________________?
A. (x,y)
B. (X,Y)
C. (X,Z)
D. x/y
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Statistics Sampling MCQs
1
1. A sample of 92 observations is taken from an infinite
population. The sampling distribution of is approximately ?
A. Normal because is always approximately normally distributed
B. Normal because the sample size is small in comparison to the
population size
C. Normal because of the central limit theorem
D. None of these alternatives is correct.
2. The standard deviation of sampling distribution of a statistics is
_________________?
A. Standard error of statistics
B. Sampling error of statistics
C. Sampling distribution of statistics
D. None of these
3. For a population with any distribution, the form of the sampling
distribution of the sample mean is_____________?
A. Sometimes normal for all sample sizes
B. Sometimes normal for large sample sizes
C. Always normal for all sample sizes
D. Always normal for large sample sizes
4. Convenience sampling is an example of______________?
A. Probabilistic sampling
B. Stratified sampling
C. No probabilistic sampling
D. Cluster sampling
5. The process of dividing a heterogeneous_____________?
A. Random digit
B. Stratification
C. Random Sampling
D. Cluster
6. For a population consisting of 4 members, a sample of size ‘2’ is
taken replacement, then the number of all the possible samples
are?
A. 4
B. 8
C. 16
D. 32
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Statistics Sampling MCQs
2
7. If we increase the sample size, it means that it:_________________?
A. Increases the Standard error
B. Decreases the Standard error
C. Decreases the Standard error
D. Both (a) and (b)
8. Sampling errors are reduced by:___________________?
A. Increasing the sample size
B. Decreasing the sample size
C. Increasing population s.d.
D. None of these
9. In sampling with replacement be t a sampling unit can
selected________________?
A. Only once
B. More than once
C. Less than once
D. None
10. A list of sampling _________ is called sampling frame?
A. Point
B. w.r.m
C. w.o.r
D. unit
11. To purchase the fruit, we use the _________ sampling?
A. Systematic
B. Cluster
C. Stratified
D. Judgment
12. Non-random sampling is also called___________________?
A. Biased sampling
B. Non-prob.sampling
C. Less than sampling
D. Representative sampling
13. A sampling distribution is the probability distribution for
which one of the following___________?
A. A sample
B. A sample statistic
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Statistics Sampling MCQs
3
C. A population
D. A population parameter
14. Selection of s by the students to solve a paper is _________________?
A. Random sampling
B. Non-random sampling
C. Prob.Sampling
D. Sampling with replacement
15. Probability distribution of a statistics is called_________________?
A. Sampling
B. Parameter
C. Data
D. Sampling distribution
16. N – n/N -1 is called ___________ population?
A. Group
B. Finite
C. Un-finite
D. Correction
17. The process of selecting sample from the population is
called_________________?
A. Sampling process
B. Sampling unit
C. Sampling
D. Size
18. Sampling error can reduced by __________________?
A. Non-random sampling
B. Increasing the population
C. Decreasing the sample size
D. Increasing the sample size
19. Non-sample errors are reduced by:________________?
A. Increasing the sample size
B. Reduced the amount of data
C. Decreasing the sample standard deviation
D. None of these
20. If in a sampling distribution of X the sample size is 25, what
assumption must hold for the sampling distribution of X to be
normal ?
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Statistics Sampling MCQs
4
A. Population distribution is normal
B. μ1 = μx
C. Population distribution is uniform
D. σx = σx /√n
21. For making voters lists in Pakistan we need _______________?
A. Simple random sampling
B. Systematic sampling
C. Quota sampling
D. Census
22. Which of the following is impossible in sampling ?
A. Destructive tests
B. Heterogeneous data
C. To make voters lists
D. None of these
23. The sampling error is the_____________?
A. Same as the standard error of the mean
B. Difference between the value of the sample mean and the
value of the population mean
C. Error caused by selecting a bad sample
D. Standard deviation multiplied by the sample size
24. A sample estimate is used to describe a characteristic of
a_____________?
A. Sample
B. Data
C. Population
D. None
25. A sample of 24 observations is taken from a population that has
150 elements. The sampling distribution of is___________?
A. Approximately normal because is always approximately
normally distributed
B. Approximately normal because the sample size is large in
comparsion to the population size
C. Approximately normal because of the central limit theorem
D. Normal if the population is normally distributed
26. Random samples of size 17 are from a population that has 200
elements, a mean of 36, and a standard deviation of 8. which of
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Statistics Sampling MCQs
5
the following best describes the from of the sampling
distribution of the sample mean for this situation ?
A. Approximately normal because the sample size is small
relative to the population size
B. Approximately normal because of the central limit theorem
C. Exactly
D. None of these alternatives is correct
27. The difference between statistics and parameter is
called:______________?
A. Bias
B. Standard
C. Sampling error
D. both (a) and (b)
28. In w.o.r 2σx=_____________________?
A. 26/√n√N – n/N – 1
B. σ/√n√N – n/N – 1
C. 26/√n N – n/N – 1
D. 26/√n
29. Standard deviation of the sampling distribution of a statistics is
called_____________?
A. Serious error
B. Dispersion
C. Standard error
D. Difference
30. In probability sampling each sampling unit has
some____________________?
A. Unknown
B. Large
C. Small
D. KnThere are ____________ probability sampling?
31. Four
B. Six
C. Three
D. Seven
32. The smallest individuals which constitute the entire population
are called __________________?
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Statistics Sampling MCQs
6
A. Sampling frame
B. Sampling units
C. Sample pop
D. Sample design
33. In the sampling without replacement a sampling unit can be
selected_______________?
A. Only Once
B. More than once
C. Less than once
D. None of these
34. If the sampled population has a normal distribution, when is
the sampling distribution of the sample mean X also a normal
distribution ?
A. Only when the sample size is at least 100.
B. Only when the sample size is smaller than 30
C. Always
D. Only when the sample size is at least 30.
35. In Statistics, a population consists of:_____________?
A. All People living in a country
B. All People living in the are under study
C. All subjects or objects whose characteristics are being
studied
D. None of the above
36. Major area of statistics today is concerned with drawing of
conclusions from__________?
A. Samples
B. Primary
C. Two
D. Complete study
37. In statistics, a sample means__________?
A. A portion of the sample
B. A portion of the population
C. All the items under investigation
D. None of the above
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