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Mayfield High School girl/boy height/weight investigation.

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Introduction

Mayfield High School - GCSE Maths Coursework

Hypothesis: I believe that taller students will be heavier than shorter students. I also believe that males will be taller than females. I am investigating these topics because it is a common idea that this is true, and I am interested in proving or disproving them.

Plan: To test my hypothesis I need to sample a certain number of school students. I intend to sample the school population of Mayfield High School, taking a percentage of the 1183 students. I am only taking a percentage of those 1183 to keep the data to a manageable extent. To sample this data, I will use a stratified sampling method, and then calculate different averages of the data, for example mode, median, range, to help demonstrate the typical student. I can also put the data into Box Plots and Scatter Diagrams. This will help to obtain the accuracy of my data, and help me form a strong conclusion to relate to my Hypothesis, and find out if my data correlates well or not.

...read more.

Middle

55

176

7

m

1.63

59

184

7

m

1.48

35

192

7

f

1.5

40

200

9

m

1.67

52

208

7

f

1.57

45

216

8

m

1.56

40

224

7

m

1.58

59

232

8

f

1.25

35

240

9

f

1.2

42

I will now plot these results in a scatter diagram to see if my results correlate (following page)

Conclusion Of My Results

I have been unsuccessful in obtaining a clear correlation, however, I can see a slight positive pattern in the graph, but this is not enough information to back up my hypothesis on this investigation into the height and weight of various students.

Therefore, the graph showed me that my hypothesis was incorrect. I need to look at the reasons why there was such a weak correlation…

· All my results are of different genders

· All my results are of different ages

This means that overall, the method I used to collate the students was unfair and impractical…a student in year 7 will weigh different to a student in year 9.

To try and solve this problem, I will plot more graphs to see if it does make a difference that my results were from males and females and of different ages.

The following graphs, I will set by using the same year (year 7) and by creating two separate graphs, one for male gender, and the other for female.

Samples For 15 Males In Year 7 (height and Weight)

Pupil No

Height

Weight

1

1.45

45

4

1.48

44

8

1.55

53

12

1.62

48

13

1.42

40

14

1.42

26

18

1.59

45

28

1.46

40

33

1.5

41

34

1.41

45

41

1.36

38

43

1.52

37

49

1.54

43

54

1.52

25

57

1.64

50

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Conclusion

The weight results don't really tell me anything, apart from I clearly notice that the modes for both female and male are similar (45)

I will now use the results I have found to make box plots for the research that I have done… ( These box plots are on the following page)

Overall Conclusion of this Investigation

My research has proven that the females in year 7 are not only taller than the males in their year, but they also weigh more. My box plots show this clearly.

Evaluation

I know why my results have turned out like they have. I chose to investigate the year 7 students, from the beginning. However, I did not take into account that females begin to grow before males do, this is a perfect example as in year 7, children have just began to grow resulting in both, height and weight being extremely varied.

If I was to repeat this investigation, I would choose another year to investigate, as after a few years children have grown to their typical height.

...read more.

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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