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Comparing Heights and Weights

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Introduction

Statistics 2 coursework

Comparing Heights and Weights

By Anthony Burns

Aim

In the media at the moment there is much coverage of the problems associated with eating disorders, particularly in younger girls. I want to find out if we really have any control of our weight, when we are in our middle teen age years, or whether our weight is really given by our height.  To do this I am going to look at data collected by the examination board, from a school called Mayfield High School.  I am not sure that the school exists, but I am assuming that the data is valid for the work I want to follow.

Data Collection

The full data set can be found in Appendix 1 at the end of this document.

...read more.

Middle

Female

1.55

50

Male

1.65

58

Female

1.69

54

Male

1.67

60

Female

1.62

42

Male

1.66

63

Female

1.80

60

Male

1.72

71

Female

1.75

50

Male

1.71

54

Female

1.56

45

Male

1.7

56

Female

1.74

47

Male

1.62

50

Female

1.57

60

Male

1.63

56

Female

1.63

38

Male

1.67

60

Female

1.58

48

Male

1.74

56

Female

1.63

48

Male

1.57

54

Female

1.68

47

Male

1.67

60

Female

1.41

55

Male

1.57

64


Modelling procedures

image00.png

The above scatter graph clearly demonstrates that the data is relatively normal, it also shows that there is possible a linear relationship between the two data items.

As the two variables are uncontrolled, both are random and independent, I am going to us the Product Moment Correlation Coefficient (Pmcc, rm)

...read more.

Conclusion

Appendices 4.1 and 4.2.

Girls

Boys

Mean x

1.6428

1.6948

Mean y

51.52

61.72

Sx2

0.00974816

0.007193

Sy2

42.7296

84.9216

Sxy

0.192544

0.616944

rm

0.298335031

0.789374


GirlsBoys

Ho: ρ = 0                        Ho: ρ = 0                No correlation

Ha: ρ > 0                         Ha: ρ > 0                There is positive correlation

Critical value for 25 on rm is: 0.3365

For the Boys we reject Ho, however for the girls we accept Ho.  This says something rather worrying, the boys accept that as they get bigger they get heavier, however for the girls it is different.  

Are the girls falling under pressure to change their body shape?

Are they always dieting?

Is there no link between height and weight at all

What factors do effect the weight of girls and women?

I am a little surprised by these results I must say, hence I would like to carry out a much larger survey, looking into ethnic background, access to fashion magazines, social background etc.

...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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