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  • Level: GCSE
  • Subject: Maths
  • Word count: 1582

Height and weight comparison - Mayfield High School Project.

Extracts from this document...

Introduction

Mayfield High School Project.

Introduction:

For my coursework, I will be exploring three hypotheses, and if time allows, another three will be studied. The first three that I will try to prove true or false are;

  • Taller people are heavier
  • Boys are taller than girls
  • Boys are heavier than girls.

The two others that will be explored if I have the chance are;

  • Older boys and girls are taller than younger ones
  • Older boys and girls are heavier than younger ones.

The two extra hypotheses are related the second and third hypotheses I am definitely doing. I will expand the second and third to see if age is a factor.

To start proving my theories correct or wrong, I will need heights and weights of children from a school. I will be using the booklet provided which contains data of 1183 pupils at Mayfield High School. I will need 100 sets of data, approximately 50 boys and 50 girls. We were told that 100 would provide sufficient information to display on graphs and histograms, or 20% of the whole amount of data.

Hypothesis 1 – Are taller people heavier?

Introduction:

...read more.

Middle

33

161

45

44

151

41

55

119

47

66

151

50

77

150

52

88

164

44

99

156

57

110

162

50

121

161

48

Year 8

11

158

52

22

155

52

33

162

51

44

172

50

55

163

47

66

157

61

77

170

55

88

175

45

99

144

49

110

165

58

121

160

58

Year 9

11

152

48

22

157

52

33

160

40

44

157

38

55

164

42

66

152

50

77

162

52

88

149

37

99

165

54

110

180

62

121

155

36

132

165

49

143

155

36

Year 10

22

168

50

33

162

35

44

157

48

55

172

50

66

155

48

77

162

48

88

173

45

Year 11

12

168

54

24

150

45

36

175

60

48

163

44

60

158

48

72

155

36

84

178

35

These tables show enough data to be displayed on a scatter graph. The scatter graph is on the following page.

Comments:

        From my scatter graph showing heights against weights of 51 boys and 49 girls, I can say that height does affect weight. As nearly all of the heights increase, the weight increases as well. There are some tall and light people, and short and heavy people, which proves that my hypothesis isn’t 100% accurate. Some people don’t follow my theory, and they have been included in the graph to show my theory was wrong.

There wasn’t a strong correlation on my graph, as the weight axis wasn’t as spread out (31-86… 55 difference) whereas the height axis was a lot more varied (119-203… 84 difference). This spread the graph wider, making the results show a more horizontal correlation.

Hypothesis 2 – Are boys taller than girls?

Introduction:

For this hypothesis I shall plot a Cumulative Frequency polygon. From these I will then be able to draw two Box-plots, which will show us if boys are taller than girls.

...read more.

Conclusion

Hypothesis 3 – Are boys heavier than girls?

Introduction:

        For this hypothesis, I will be repeating all the steps taken in the previous investigation, but using weight data instead. I will try to discover if boys are heavier than girls, or if my theory is wrong.

        I will display all my results in the same way as the previous hypothesis; tables, which will then be rearranged, CF polygons, box-plots and finally histograms.

Weights:

Boys – min. 31       max. 86

Group / kg

Tally

Frequency

30<x<40

6

40<x<50

20

50<x<60

14

60<x<70

7

70<x<80

2

80<x<90

2

Girls – min. 35       max. 62

Group / kg

Tally

Frequency

30<x<40

6

40<x<50

21

50<x<60

19

60<x<70

3

Boys – Rewritten Groups

Group / kg

Frequency

Cumulative Frequency (CF)

30<x<40

6

6

40<x<45

9

15

45<x<50

11

26

50<x<55

11

37

55<x<60

3

40

60<x<70

7

47

70<x<90

4

51

Girls – Rewritten Groups

Group / kg

Frequency

Cumulative Frequency (CF)

30<x<40

6

6

40<x<45

7

13

45<x<50

14

27

50<x<55

14

41

55<x<60

5

46

60<x<70

3

49

...read more.

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