Kkp Mat Statistics

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Statistics Statistics involves use of sample data to predict, estimate and finally used in managerial decisions. It refers to scientific methods by which the data are collected, organized, presented and analysed. Quantitative variable A quantitative variable is a numerical datum or observation that represents an amount or quantity. The quantity can be discrete or continuous. Example of quantitative variable: 1. Earnings of fishermen in Terengganu 2. The number of fishermen in Terengganu. 3. The number of Proton Wira cars in the parking lot. 4. The number of wau ordered. 5. The area or size of IIUM’s campus in Gombak. Discrete and continuous variables A discrete is a countable number of values. The values are generally expressed as integers or whole numbers. A continuous variable is a number that can assume all of the infinitely many values corresponding to a line interval. Qualitative variable A qualitative variable is a non-numerical observation that represents a category of data.

Transcript of Kkp Mat Statistics

Page 1: Kkp Mat Statistics

Statistics

Statistics involves use of sample data to predict, estimate and finally used in

managerial decisions. It refers to scientific methods by which the data are

collected, organized, presented and analysed.

Quantitative variable

A quantitative variable is a numerical datum or observation that represents an

amount or quantity. The quantity can be discrete or continuous.

Example of quantitative variable:

1. Earnings of fishermen in Terengganu

2. The number of fishermen in Terengganu.

3. The number of Proton Wira cars in the parking lot.

4. The number of wau ordered.

5. The area or size of IIUM’s campus in Gombak.

Discrete and continuous variables

A discrete is a countable number of values. The values are generally

expressed as integers or whole numbers.

A continuous variable is a number that can assume all of the infinitely many

values corresponding to a line interval.

Qualitative variable

A qualitative variable is a non-numerical observation that represents a

category of data.

Example of qualitative:

1. Colour.

2. Gender, i.e. male or female.

3. Marital status, i.e. single, married, divorced or separated.

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Frequency distribution

Frequency distribution is a table that contains of data values and its frequency

is the number of times a value occurs.

Range is the difference between the highest and the lowest values in a

frequency distribution.

Grouped frequency distribution

Grouped frequency distribution is displays the data in class intervals and the

number of data (frequency) that is included in each class.

Cumulative frequency

Cumulative frequency is the total number of data that is less than a particular

value (usually the upper class boundary)

Mean, median and mode is statistic

Mean

Mean is the sum of the data in a frequency distribution divided by the

number of data elements.

Median

The value of the middle element when the size is odd(or the average

value of the two middle elements when the sample size is even)in a

frequency distribution. To find the median, the data elements must be

in order.

Mode

The most frequently occurring value in frequency distribution.

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TYPES OF HAND PHONE USED BY PPISMP SEMESTER 1 STUDENTS IN

INSTITUT PENDIDIKAN GURU KAMPUS PERLIS.

No Class Sony Ericsson Nokia CSL Samsung LG Other

1 Pemulihan B /

2 Pemulihan B /

3 Pemulihan B /

4 Pemulihan B /

5 Pemulihan B /

6 Pemulihan B /

7 Pemulihan B /

8 Pemulihan A /

9 Pemulihan A /

10 Pemulihan B /

11 Pemulihan B /

12 Pemulihan B /

13 Pemulihan B /

14 Pemulihan B /

15 Pemulihan B /

16 Pemulihan B /

17 Pemulihan B /

18 Pemulihan B /

19 TESL D /

20 TESL D /

21 TESL D /

22 TESL D /

23 TESL D /

24 TESL D /

25 TESL D /

26 TESL D /

27 TESL D / /

28 TESL D /

29 TESL D /

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30 TESL D /

31 TESL D /

32 Pendidikan Jasmani /

33 Pendidikan Jasmani /

34 Pendidikan Jasmani /

35 Pendidikan Jasmani /

36 Pendidikan Jasmani /

37 Pendidikan Jasmani

38 Pendidikan Jasmani /

39 Pendidikan Jasmani /

40 Pendidikan Jasmani /

41 Pendidikan Jasmani /

42 TESL B /

43 PJ SEMESTER 3 /

44 PJ SEMESTER 3 /

45 PJ SEMESTER 3 /

46 PJ SEMESTER 3 /

47 PJ SEMESTER 3 /

48 PJ SEMESTER 3 /

49 PJ SEMESTER 3 /

50 PJ SEMESTER 3 /

51 PJ SEMESTER 3 /

52 PJ SEMESTER 3 /

53 PJ SEMESTER 3 /

54 PJ SEMESTER 3 /

55 PJ SEMESTER 3 /

56 PJ SEMESTER 3 /

57 PJ SEMESTER 3 /

58 PJ SEMESTER 3 /

59 PJ SEMESTER 3 /

60 PJ SEMESTER 3 /

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Method used in collecting data

1. Observation

Our group prepare paper or form to classes and told them to fill

the form. That is how our group gather the data. We observe

each class by giving them a form to fill.

Frequency distribution

Types of Hand Phone Tally Frequency

Sony Ericsson llll llll llll llll llll llll 29

Nokia llll llll llll llll llll 25

CSL lll 3

Samsung 0

LG l 1

Other ll 2

Sum 60

Qualitative Data

Types of hand phone Frequency

Sony Ericsson 29

Nokia 25

CSL 3

Samsung 0

LG 1

Other 2

Sum 60

ANSWER FOR MEAN, MEDIAN AND MODE:

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a) Mean = x

n

= 29 + 25 + 3 + 0 + 1 + 2

6

= 60/6

Mean = 10

b) Rearrange the numbers in ascending order:

0 1 2 3 25 29

Median = 2 + 3

2

Median = 2.5

c) Mode = 29

Bar Chart

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Types of hand phone Frequency

Sony Ericsson 29

Nokia 25

CSL 3

Samsung 0

LG 1

Other 2

Sum 60

Sony Eric-sson

Nokia CSL Samsung LG Other0

5

10

15

20

25

30

35 Types of Hand Phone Used by PPISMP

Semester 1 Students.

Types of Hand Phone

Frequency(f)

Pie Chart

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48%

25%

3%

1%2%

Types of Hand Phone Used by PPISMP Semester 1 Students.

Sony EricssonNokiaCSLSamsungLGOther

48%

25%3%

1%2%

Types of Hand Phone Used by PPISMP

Semester 1 Students.

Sony EricssonNokiaCSLSamsungLGOther

WEIGHT(KG) OF PPISMP SEMESTER 1 STUDENTS IN INSTITUTE PENDIDIKAN

GURU KAMPUS PERLIS

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No Class Weight (kg)

1 Pemulihan B 45

2 Pemulihan B 40

3 Pemulihan B 48

4 Pemulihan B 45

5 Pemulihan B 79

6 Pemulihan B 75

7 Pemulihan B 46

8 Pemulihan B 46

9 Pemulihan B 52

10 Pemulihan B 60

11 Pemulihan B 77

12 Pemulihan B 62

13 Pemulihan B 63

14 Pemulihan B 85

15 Pemulihan B 65

16 Pemulihan B 52

17 Pemulihan B 44

18 Pemulihan A 62

19 Pemulihan B 38

20 Pemulihan B 43

21 Pemulihan B 38

22 TESL D 52

23 TESL D 43

24 TESL D 60

25 TESL D 52

26 TESL D 43

27 TESL D 54

28 TESL D 68

29 TESL D 47

30 TESL D 43

31 TESL D 46

32 TESL D 59

33 TESL D 47

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34 TESL D 70

35 TESL D 71

36 TESL D 87

37 TESL D 70

38 TESL D 58

39 TESL D 67

40 Pendidikan Jasmani 49

41 Pendidikan Jasmani 43

42 Pendidikan Jasmani 65

43 Pendidikan Jasmani 59

44 Pendidikan Jasmani 37

45 Pendidikan Jasmani 46

46 Pendidikan Jasmani 55

47 Pendidikan Jasmani 61

48 TESL B 55

49 Pendidikan Jasmani Semester 3 51

50 Pendidikan Jasmani Semester 3 52

51 Pendidikan Jasmani Semester 3 60

52 Pendidikan Jasmani Semester 3 57

53 Pendidikan Jasmani Semester 3 57

54 Pendidikan Jasmani Semester 3 60

55 Pendidikan Jasmani Semester 3 55

56 Pengajian Agama Semester 3 50

57 Bahasa Melayu Semester 3 62

58 Bahasa Melayu Semester 3 59

59 Bahasa Cina Semester 3 57

60 Bahasa Cina Semester 3 69

Frequency distribution

Weight (kg) Tally Frequency

30 – 39 III 3

40 – 49 IIII IIII IIII II 17

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50 – 59 IIII IIII IIII III 18

60 – 69 IIII IIII IIII 14

70 – 79 IIII I 6

80 – 89 II 2

sum 60

Quantitative data

Weight (kg) Frequency

30 – 39 3

40 – 49 17

50 – 59 18

60 – 69 14

70 – 79 6

80 – 89 2

sum 60

Relative Frequency

Weight (kg) Frequency Relative Frequency ( f / f )

30 – 39 3 0.05

40 – 49 17 0.28

50 – 59 18 0.30

60 – 69 14 0.23

70 – 79 6 0.10

80 – 89 2 0.03

sum 60

Lower Boundary and Upper Boundary

Weight (kg) Lower Boundary Upper Boundary

30 – 39 29.5 39.5

40 – 49 39.5 49.5

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50 – 59 49.5 59.5

60 – 69 59.5 69.5

70 – 79 69.5 79.5

80 – 89 79.5 89.5

Midpoint

Weight (kg) Midpoint

30 – 39 34.5

40 – 49 44.5

50 – 59 54.5

60 – 69 64.5

70 – 79 74.5

80 – 89 84.5

Cumulative Relative Frequency

Weight (kg)

L/B U/B frequency Relative frequenc

y

Midpoint Cumulative frequency

30 – 39 29.5 39.5 3 0.05 34.5 3

40 – 49 39.5 49.5 17 0.28 44.5 20

50 – 59 49.5 59.5 18 0.30 54.5 38

60 – 69 59.5 69.5 14 0.23 64.5 52

70 – 79 69.5 79.5 6 0.10 74.5 58

80 – 89 79.5 89.5 2 0.03 84.5 60

ANSWER FOR MEAN, MEDIAN AND MODE:

a) Mean = x= ∑fx∑ f

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Mean = Sum of (midpoint × frequency)Sum of frequency

= 3(34.5) + 17(44.5) + 18(54.5) + 14(64.5) + 6(74.5) + 2(84.5)

60

= 3360 60

= 56

b) Median = LB + [ N2 −f

fm ]c Median class = 50 – 59

= 49.5 + [ 602 −20

18 ]10

= 49.5 + (0.56 x 10)

= 49.5 + 5.6

= 55.1

c) Mode class = 50 – 59

Bar Chart

Weight (kg)

L/B U/B frequency Relative frequenc

y

Midpoint Cumulative frequency

30 – 39 29.5 39.5 3 0.05 34.5 3

40 – 49 39.5 49.5 17 0.28 44.5 20

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50 – 59 49.5 59.5 18 0.30 54.5 38

60 – 69 59.5 69.5 14 0.23 64.5 52

70 – 79 69.5 79.5 6 0.10 74.5 58

80 – 89 79.5 89.5 2 0.03 84.5 60

34.5 44.5 54.5 64.5 74.5 84.502468

101214161820

Statistic Weight of PPISMP Semester 1 Students in IPG Campus Perlis

Midpoint

Freq

uenc

y (f)

Ogive

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0 10 20 30 40 50 60 70 80 900

2

4

6

8

10

12

Weight of PPISMP Semester 1 Students in IPG Campus Perlis

Y-Values

Weigth (kg)

Cum

ulati

v fr

eque

ncy