• Join over 1.2 million students every month
• Accelerate your learning by 29%
• Unlimited access from just £6.99 per month
Page
1. 1
1
2. 2
2
3. 3
3
4. 4
4
5. 5
5
6. 6
6
7. 7
7
8. 8
8
9. 9
9
10. 10
10
11. 11
11
12. 12
12
• 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)

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.

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.

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

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

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.

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.

## Found what you're looking for?

• Start learning 29% faster today
• 150,000+ documents available
• Just £6.99 a month

Not the one? Search for your essay title...
• Join over 1.2 million students every month
• Accelerate your learning by 29%
• Unlimited access from just £6.99 per month

# Related GCSE Height and Weight of Pupils and other Mayfield High School investigations essays

1. ## mayfield high statistics coursework

Boys Height Box and Whisker Plot I then used the same statistical software I created a box and whisker which is a vital representation of data and it will Boys Weight Box and Whisker Plot Comparison of Box and Whisker Plots Form this Box and Whisker Plot I will be

2. ## A hypothesis is the outline of the idea/ideas which I will be testing and ...

Weight Comparison: Most Boys and Girls weigh in the region of 40- 60 from my sample and I have found that not many girls are over the weight of 60 whereas in Males usually are borderline 60 or above when they come to the age of 16.

1. ## Maths Statistics Coursework - relationship between the weight and height

This will now allow me to create complex graphs to present the data to enable me to spot any trends, relationships or anomalies in the data for height, weight, year groups, age and gender. I will present all the averages and totals for the boys' and girls' means, modes, medians,

2. ## Conduct an investigation comparing height and weight from pupils in Mayfield School.

So I can estimate that 18 out of 25 or 72% of boys will be between 140 - 160cm tall. So if I were to select a boy at random from the school, my data suggests that the probability of him having a height between 140 - 160cm is 0.72.

1. ## Mayfield High Statistics Coursework

are with your maths level predicting that a cleverer person will have a higher maths level. As the entire school was too large for me to analyse I used stratified sampling to sample an equal representation of each gender in each year group.

2. ## Determine the relationship between the range of the jump achieved by the ski jumper ...

removing the ruler the ball will slide down without any force applying to the ball (hand force). Therefore, my graphs for angle 20� and 15� turned to be positive, and the second graph did cross at the origin. Also I can say that the theoretical equation for the range with Rotational Kinetic Energy is the most suitable for my experiment.

1. ## The relationship between height and weight for students of Mayfield High School.

For example we could say the diagrams show that the girls inter quartile range is -----cm less that the boys. This suggests the boys heights were more spread out than the girls. We can also use the cumulative frequency graphs to comment on the relationships between the data for boys and the data for girls.

2. ## I would like to know whether there is a link between ability in Maths ...

5 7 Female 3 3 7 Female 3 3 7 Female 4 4 7 Female 4 5 9 Male 5 5 9 Male 2 3 8 Female 4 4 8 Female 4 3 7 Male 3 3 8 Female 4 4 8 Male 5 5 7 Male 3 4 8

• Over 160,000 pieces
of student written work
• Annotated by
experienced teachers
• Ideas and feedback to