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  • Level: GCSE
  • Subject: Maths
  • Word count: 2372

Investigate the relationship between the height and weight of boys and girls at Mayfield High School.

Extracts from this document...

Introduction

Data Handling Task: Mayfield High School

Aims: The aim of this task for me is to investigate the relationship between the height and weight of boys and girls at Mayfield High School. In order for me to carry out this investigation, below, I will briefly explain 5 hypotheses that I have constructed and later will test these theories by using the data on the school.

Hypothesis:

  1. Boys in year 7 will weight less than in year 9 as they would have grown a substantial amount and therefore put on some weight and would be entering puberty in which boys bodies enlarge due to puberty so they will be bigger and heavier.
  2. For the same reason as I have stated in the theory above, I believe that boys in year 7 will be sorter than in year 9.
  3. Girls encounter puberty at a younger age to boys therefore mature younger so girls in year 9 will be taller than boys in year 9 as the girls would have completed puberty and be fully developed while the boys are just starting the process.
  4. Continuing along the same lines as my previous hypothesis, by year 11 boys will have completed puberty and would have caught up, and overtaken girls so will be taller come year 11.

In order for me, after I have collected all my data, to find out the different types of statistics on my computer like; correlation, median, and the quartile ranges I will use the following equations on my computer:

Lower Quartile: ‘=QUARTILE (_:_,1)’

Upper Quartile: ‘=QUARTILE (_:_,3)’

Median: ‘=MEDIAN (_:_)’

Correlation: ‘CORREL (RANGE OF X, RANGE OF Y)

...read more.

Middle

7

136

177

8

147

173

9

173

175

10

158

180

11

153

155

12

146

154

13

162

165

14

160

160

15

152

158

Average:

153

166

Height in CM’s.

As you can see again there is a 13cm gap in height for the two year groups so, so far again my hypothesis has been correct.

Below I will plot the data onto a graph to see how much the differences are and if there are any large effecting figures.

image02.png

I can see again that the year 9’s is taller than year 7 but the difference does seem to be quite close and caused by only a few people. I can find out if this is right by doing box plots.

Year 7

Year 9

Upper Quartile

160

173

Lower Quartile

146

160

Median

152

167

Max

173

180

Min

136

152

This time you can see that the ranges are more extreme causing the results be look bigger than they are.

To conclude for both hypotheses so far, as you get older, from year 7 to 9, you get both taller and heavier due to the start of puberty.

Hypothesis 3:

Girls encounter puberty at a younger age to boys therefore mature younger so girls in year 9 will be taller than boys in year 9 as the girls would have completed puberty and be fully developed while the boys are just starting the process.

This hypothesis will need me to this time take girls height data and compare it with the data I have already randomly selected for my year 9 boys. I will plot exactly the same ways I previously and will see if I am right.

Pupil Number

Year 9 BOYS

Year 9 GIRLS

1

165

154

2

152

151

3

167

165

4

171

167

5

180

156

6

155

138

7

177

148

8

173

154

9

175

160

10

180

168

11

155

164

12

154

152

13

165

159

14

160

161

15

158

163

Average:

166

157

 I was wrong this time with my theory and boys still dominated over the girls even thought the girls had completed puberty and the boys were in the early stages. The average could be lower for the girls as few individuals may have brought the average down for them or a few tall boys may drastically brought it up for the boys. I will try to see if this is true by plotting the graph and to see if there is any wild reading that could have caused this.

image03.png

This graph does back my point as the boys have 5 people who are taller than the rest by a large area and the girls seem to be quite consistent but some are short bringing down the average. Some of the girls thought are taller than the boys and the heights, even thought the average says is largely different, it looks quite close and may be caused by a few individually tall pupils.

Again I will use a box plot to see if what I had thought bout the few pupils making the difference was right.

Year 9 Girls

Year 9 Boys

Upper Quartile

163

173

Lower Quartile

152

160

Median

156

167

Max

168

180

Min

138

152

...read more.

Conclusion

lass="c3">Height

Weight

1

151

45

2

155

40

3

155

40

4

125

35

5

155

50

6

165

64

7

163

59

8

172

60

9

130

35

10

150

44

11

160

58

12

135

33

13

141

39

14

151

45

15

153

40

16

145

36

17

130

36

18

150

45

19

163

51

20

159

47

21

165

60

22

172

64

23

148

49

24

167

51

23

157

53

26

152

52

27

155

50

28

153

47

29

168

54

30

186

63

31

167

57

32

172

54

33

120

38

34

135

51

35

165

58

36

154

54

37

144

49

38

182

67

39

165

44

40

161

52

41

173

62

42

132

41

43

174

59

44

175

55

45

144

49

46

159

40

47

146

45

48

135

29

49

145

72

50

165

51

image04.pngimage00.png

As you can see I have plotted all my reading and there is a positive correlation so I could use this to find out the weight from only knowing the height. There are some of the points plotted the are too high or too low and that is because the person may be anorexic or fat. The red area is my prediction for the safe area for you.

To conclude I was right in saying there would be a relationship between the two and you can clearly see this from the graph.

Overall Conclusion:

I have taught a lot from doing this coursework and that is that both height and weight increase as we grow older until we stop growing which is around year 11 for boys and 9 for girls. I have also learnt that height and weight both have a positive correlation and I have put my own safe area for people to be in for them to be healthy and good weight for their height.

...read more.

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