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  • Level: GCSE
  • Subject: Maths
  • Word count: 2942

For my project I am investigate the relationship between weight, height and body mass index. I will be investigating how the body mass index

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Introduction

Mayfield High School – Coursework

For my project I am investigate the relationship between weight, height and body mass index. I will be investigating how the body mass index varies depending on the age and year group of a student. I will also be investigating how the body mass index varies depending on the gender of a student. I predict that the average BMI for males is going to be higher than the females because the BMI table shows that the average BMI for males is higher than the average BMI for females,

E.g. In normal range for Females it is      19.1- 25.8

       In normal range for Males it is          20.7- 26.4

I also predict that the Year group will not really make a difference because the BMI should be the same for each Gender what ever your age. Therefore I think that the Year Group is not a major factor and apart from extreme values, all the averages should be similar.

I will take a proportional sample size of 119. I will use stratified sampling to get my 119 students sample size. I used one tenth of each year group to represent the whole year group.

I will need to collect the following information:

Weight, Height, Sex, Year Group, Age. I will also need to find the BMI table, which defines which group each value should fall in to.

...read more.

Middle

Ben

Male

1.55

74

30.8

38

0.061661268

8

Wilson

Christopher

Philip

Male

1.53

32

13.7

39

0.106704982

8

Leonard

Robert

Male

1.71

49

16.8

40

0.107106443

8

Vegeta

Goku

Krillain

Male

2

35

8.8

41

0.111133996

8

Johnson

James

Peter

Male

1.65

51

18.7

42

0.119740593

8

Shane

Christopher

Male

1.54

42

17.7

43

0.131459879

8

Irving

Bradley

Male

1.8

57

17.6

Girls

44

0.019481638

8

McDonald

Kyle

Grace

Female

1.67

51

18.3

45

0.02183743

8

Kay

Dannielle

Elizabeth

Female

1.63

47

17.7

46

0.021974938

8

Banken

Lilly

Female

1.68

56

19.8

47

0.025253712

8

Hanten

Victoria

Female

1.69

61

21.4

48

0.040167259

8

Dom

Kate

Female

1.59

50

19.8

49

0.052033084

8

Meert

Maureen

Margaret

Female

1.62

46

17.5

50

0.053323644

8

Stapeley

Jane

Female

1.72

57

19.3

51

0.054260251

8

Angabus

Kristina

Female

1.55

42

17.5

52

0.064138052

8

Johnson

Ann

Sarah

Female

1.59

44

17.4

53

0.066088496

8

Sabah

Sophie

Female

1.58

58

23.2

54

0.06712008

8

Hiccup

Jana - Sarah

Female

1.41

39

19.6

55

0.083595658

8

Matel

Kirsty

Female

1.6

42

16.4

56

0.086576344

8

Houseson

Lisa

Louise

Female

1.6

64

25.0

Year 9 - boys

57

0.010996242

9

Parana

William

Gareth

Male

1.74

61

20.1

58

0.012423108

9

Nevaps

Luap

Male

1.53

50

21.4

59

0.015443859

9

Creddle

John

Male

1.67

52

18.6

60

0.027195133

9

Banks

Robin

Male

1.73

66

22.1

61

0.041060241

9

Booth

Gary

Male

1.73

52

17.4

62

0.046185864

9

Fagg

Simon

Matthew

Male

1.75

60

19.6

63

0.05830581

9

Wilson

David

Daniel

Male

1.71

44

15.0

64

0.058466053

9

Seedat

Schel

Male

1.7

50

17.3

65

0.071400467

9

Gregory

Andrew

Mark

Male

1.82

66

19.9

66

0.071793565

9

Jungla

George

Fred

Male

1.72

90

30.4

67

0.083117324

9

Khaliq

Mohammed

Adnan

Male

1.74

57

18.8

68

0.090604681

9

Brooder

Andrew

John

Male

1.46

45

21.1

Girls

69

0.003203238

9

O'Donald

Louise

Krisila

Female

1.55

36

15.0

70

0.013962956

9

Mohammed

Kiran

Female

1.58

36

14.4

71

0.015153134

9

Dre

Samantha

Female

1.62

48

18.3

72

0.01564775

9

...read more.

Conclusion

Year 7 Females:

Range:                        11.3

Lower Quartile:        16.95

Median:                20.8

Upper Quartile:        23.2

Semi I.Q. Range:        3.125

Year 7 Males:

Range:                        12.9

Lower Quartile:        18.1

Median:                20.3

Upper Quartile:        22.6

Semi I.Q. Range:        2.25

image00.png

This shows completely the opposite of my prediction because it shows that the Females’ averages are all higher than the Males.

For Year 8:

Males:

Range:                        22

Lower Quartile:        16.4

Median:                17.6

Upper Quartile:        19.3

Semi I.Q. Range:        1.45

Females:

Range:                        8.6

Lower Quartile:        17.5

Median:                19.3

Upper Quartile:        20.6

Semi I.Q. Range:        1.55

image01.png

Year 8 Males has a much larger range, this may be because of a few extreme values. Every other average is lower than the Females averages.

Year 9:

Males:

Range:                        15.4

Lower Quartile:        17.7

Median:                19.75

Upper Quartile:        21.325

Semi I.Q. Range:        1.8125

Females:

Range:                        51.5

Lower Quartile:        14.9

Median:                17.45

Upper Quartile:        21.2

Semi I.Q. Range:        3.15

image02.png

This shows the year 9 females have a very wide range of Body Mass Index, which may be because of an extreme value of 65.9. This is an example of unreliable data, which destroys the data in a way that it changes it mean etc… dramatically. The upper quartile is practically the same with a difference of 1.25. The median for males is much higher than the one for females. The lower quartile for males is also much higher for the males with a difference of 2.8. The most recognisable difference is the range because of the extreme value. This is one piece of data, which actually follows my prediction almost perfectly.

...read more.

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