Statistics – level 2
44
Statistics – Level 2 C.S.VEERARAGAVAN
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Transcript of Statistics – level 2
Statistics – Level 2
C.S.VEERARAGAVAN
The mid value of the class 27.5 – 37.5 is
32
32.5
33
33.5
04
The mid value of the class 27.5 – 37.5 is
32
32.5
33
33.5
Mid value =
04
The mid value of the class 27.5 – 37.5 is
32
32.5
33
33.5
Mid value =
Mid value =
04
If the mid value of an inclusive class of size 7 is 9, Then the class interval is 5 – 13
6 – 12
8 – 10
None of these
03
If the mid value of an inclusive class of size 7 is 9, Then the class interval is
5 – 13
6 – 12
8 – 10
None of these
Lower limit is 9 – = 9 – 3 = 6
03
If the mid value of an inclusive class of size 7 is 9, Then the class interval is 5 – 13
6 – 12
8 – 10
None of these
Lower limit is 9 – = 9 – 3 = 6Upper limit is 9 + = 9 + 3 = 12
03
The size of the exclusive class interval 24 – 34 is
9
11
10
24
01
The difference between the lower ( or upper) limits of two successive classes is the
Lower bound
Upper bound
Mid value of the class
Size of the class, for a continous distribution
02
The arithmetic mean of the series 2,5,8,11,14
8
6
9
7
05
The arithmetic mean of the series 2,5,8,11,14
8
6
9
7
Mean of A.P =
05
Mean deviation of 8 and 17 is
4
3.5
4.5
5.5
06
Mean deviation of 8 and 17 is
4
3.5
4.5
5.5
Mean deviation =
06
Mode of 3, 1 , 2 , 3 , 2 , 1, x , 3 , 4 , 3, 6
3
2
x
Cannot be determined
07
The upper boundary of an inclusive type class 10 – 14 is
14
10
14.5
9.5
08
The upper boundary of an inclusive type class 10 – 14 is
14
10
14.5
9.5
Boundaries of a class are obtained by Subtracting 0.5 from Lower limit andAdding 0.5 to Upper limit.
08
The range of the values 7, 8, 12, 9, 6, 13, 15, 21, 19, 5 is
15
13
14
16
09
The range of the values 7, 8, 12, 9, 6, 13, 15, 21, 19, 5 is
15
13
14
16
Range = 21 – 5 = 16
09
When a constant ‘c’ is subtracted from every observation of given individual data then the standard deviation of the data is
Increases by c
Decreases by c
Unchanged
Cannot be determined
10
The sum of the deviations about mean of an individual data is equal to
0
its arithmetic mean
its mean deviation
its range
11
The sum of deviations is least when taken about
Mean
Median
Mode
All of the above
12
If the variance of x1, x2,x3…xn is p, then the s.d of
2x1 + 3, 2x2 + 3, …2xn + 3 is
√𝑝2 + 3
2p + 3
2
30
When 10 < x < 15, then the median of the data 6, 18 , 21, 9 , 23, 5 and x is
9
21
x
Cannot be determined
13
The A.M and the sum of observations of individual data is 9 and 108 resp. The no. of observations = ?
12
10
11
5
14
The A.M and the sum of observations of individual data is 9 and 108 resp. The no. of observations = ?
12
10
11
5
A.M =
14
For a symmetric distribution, the mode is 24. The A.M of the distribution is
22
26
24
Cannot be distributed
15
For a moderately symmetric distribution, Mode – Median = ?
Median – Mean
Mode – Mean
3(Median – Mean)
2(Median – mean)
16
For a moderately symmetric distribution, Mode – Median = ?
Median – Mean
Mode – Mean
3(Median – Mean)
2(Median – mean)
For a moderately symmetric distributionMode = 3 median – 2 mean
16
The arithmetic mean of the first n natural numbers isn (n +1 )2
n2n+12n +12n
17
The A.M of the series x1, x2,x3… is then
the A.M of x1 – a , x2 – a , x3 – a , … xn – a is
𝑥– a
– a
a
29
Median of 8, 12, 13, 17 and 19 is
12.5
13
13.5
6.5
18
Median of the data 6, 15, 21, 28, 32 and 40 is24.5
24
21.5
28
19
The median of the first five prime numbers is
11
5
7
2
27
15/04/2023VEERARAGAVAN C S [email protected] 9894834264
34
The median of five observations is the third observation.
15/04/2023VEERARAGAVAN C S [email protected] 9894834264
35
The median of five observations is the third observation.The third prime no is 5.
In some individual data consisting of 20 observations, the observation a0 occurs for the greatest number of times. The mode is
a0
a02
2a0
Cannot determine
20
The G.M of the data 1, 3, 12 is
√366
3√363
21
If A, G and H are A.M, G.M & H.M of 2 +ve nos. a and b, then which is true?AG=HA
GH=HA
A√G
= √GA
AG=GH
22
If each observation is increased by 5, then the range of the data
Increases by 5
Decreases by 5
Does not change
May or may not change
23
If the range and the minimum value of the observations are 17 and 88 resp., then the maximum value of the data is
100
105
71
110
24
The first quartile (Q1) of the observations
4, 8, 10, 15, 17, 29 and 32 is
8
16
29
53
25
The first quartile (Q1) of the observations
4, 8, 10, 15, 17, 29 and 32 is
53
29
16
8
If the data is in ascending order, then Q1 = data.
25
The third quartile ( Q3) of the data 16, 21, 23, 25, 29, 32, 46, 48, 51, 53 , 54
51
48
29
53
26
The third quartile ( Q3) of the data 16, 21, 23, 25, 29, 32, 46, 48, 51, 53 , 54
51
48
29
53
26
The third quartile is the is data = 9th data
