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• Level: GCSE
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Statistics Coursework

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Introduction

Anthony Armstrong                                                                                         11 Lawes

Statistics Coursework

Aim:

We have been given a sheet of data stating different categories of pupil’s interests and physical features. These range from year 7 to year 11.  I will be analysing the relationship between IQ and Key stage two results. I will also be analysing the height difference between boys and girls in years 7 and 11 from the Mayfield High data.

1st Hypothesis

I predict that the pupil IQ reflects their KS2 results. The higher the IQ the greater the KS2 result and vice versa. This is because I believe that a person with a higher IQ is generally a clever person and would get high test results.

2nd Hypothesis

The year 7 boys and girls height appear to be very similar.

Middle

60

1.59

52

1.73

42

1.50

41

1.68

59

1.55

52

1.75

50

1.52

35

1.62

63

1.75

55

1.61

54

1.55

38

1.75

59

1.75

64

1.55

48

1.73

59

1.72

71

1.66

50

1.65

45

1.66

43

1.75

57

1.60

58

1.80

74

1.73

56

1.80

40

1.62

47

1.60

54

1.55

64

1.68

42

1.57

61

1.56

50

1.56

50

1.80

72

1.80

58

1.61

54

1.70

55

1.52

60

1.58

58

1.58

54

1.50

39

1.32

45

1.58

52

1.62

48

1.63

41

1.61

47

1.8

60

1.56

45

1.75

42

1.82

66

1.63

52

1.62

54

1.63

42

1.69

65

1.8

62

1.50

45

1.73

47

1.8

68

1.65

72

1.70

54

1.60

38

1.84

78

1.62

48

1.66

54

1.65

50

1.84

76

I then created a scatter graph with this sample of data to easily compare the statistics and see whether there is a positive or negative correlation.

As shown on the graph, the correlation is strongly positive suggesting that the weight and height go up equally. This means that my hypothesis was correct.

I decided to choose 20 girls from year 7, 20 boys from yr 7, 20 girls from year 11 and 20 boys from yr 11 so I could compare height from two extremes of the school. To generate the random numbers I used the ‘Shift ran# *’ function in spreadsheet. This gave me the desired information.

 Number Year Number Male or Female Height (m) 1 7 8

Conclusion

>

7

149

M

1.65

7

7

211

M

1.65

8

7

273

M

1.50

9

7

160

M

1.60

10

7

222

M

1.63

11

7

171

M

1.50

12

7

115

M

1.52

13

7

188

M

1.51

14

7

250

M

1.59

15

7

199

M

1.51

16

7

261

M

1.55

17

7

143

M

1.54

18

7

267

M

1.51

19

7

254

M

1.64

20

7

165

M

1.48

1

11

77

F

1.61

2

11

46

F

1.50

3

11

32

F

1.62

4

11

70

F

1.70

5

11

2

F

1.60

6

11

36

F

1.25

7

11

5

F

1.55

8

11

43

F

1.75

9

11

50

F

1.42

10

11

87

F

1.74

11

11

16

F

1.63

12

11

51

F

1.72

13

11

43

F

1.75

14

11

80

F

1.62

15

11

12

F

1.60

16

11

46

F

1.50

17

11

33

F

1.55

18

11

19

F

1.75

19

11

26

F

1.48

20

11

13

F

1.65

 1 11 164 M 1.55 2 11 145 M 1.6 3 11 137 M 1.2 4 11 143 M 1.52 5 11 161 M 1.8 6 11 125 M 1.7 7 11 116 M 1.68 8 11 155 M 1.68 9 11 127 M 1.7 10 11 164 M 1.55 11 11 113 M 1.58 12 11 128 M 1.5 13 11 158 M 1.73 14 11 147 M 1.55 15 11 121 M 1.73 16 11 113 M 1.58 17 11 88 M 1.7 18 11 108 M 1.52 19 11 99 M 1.43 20 11 114 M 1.69

Statistics Coursework                                                                                   Mrs Crowder

This student written piece of work is one of many that can be found in our GCSE Height and Weight of Pupils and other Mayfield High School investigations section.

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