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Comparing Heights and Weights

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Introduction

Statistics 2 coursework

Comparing Heights and Weights

By Abdul Munim

Aim:

Over the last couple of years there have been a number of times that issues relating to eating disorders have arisen. The most famous of these being is Anorexia. This is mostly common in young girls, who are in their teens.

Therefore the aim of my investigation is to find out if our weight is given by our height and are we in control of our weight or does models really influence are behaviour.

In order for me to carry out my investigation I am going to use data already collected by an examination board, from a school called Mayfield High School.

Data Collection:

The data from Mayfield High School contains information on 300 pupils (found in Appendix 1), consisting of equal numbers of boys and girls. However this set of data is too large and so I shall take a random sample. For me

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Middle

67

Female

1.52

38

Male

1.68

59

Female

1.63

54

Male

1.55

50

Female

1.68

48

Male

1.85

62

Female

1.62

51

Male

1.65

58

Female

1.60

50

Male

1.82

52

Female

1.65

54

Male

1.74

50

Female

1.78

52

Male

1.67

60

Female

1.70

60

Male

1.75

45

Female

1.55

60

Male

1.62

72

Female

1.65

52

Male

1.7

56

Female

1.65

60

Male

1.64

60

Female

1.68

58

Male

1.57

49

Female

1.72

51

Male

1.74

56

Female

1.56

63

Modelling procedures

image00.png

The above scatter graph clearly shows that the data is normal and that there is a linear relationship between the two data items as all the observation points can be contained within an ellipse.

Analysis:

As the two variables

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Conclusion

However for the girls this was a different case, due to that we reject Ho. This is because there is no correlation. Therefore I must conclude that form theses results it looks like the weight of a teenage girl is not given by the height (the taller the girl does not necessary mean that the girl is heavier than a girl who is not that tall).  Therefore it is my conclusion that girls are more obsessive over how they look and are influenced by models.

Accuracy and refinements

The accuracy of these results is fairly accurate this is because I randomly selected my results. However there is a possibility that most of the overweight people were selected, as well as taller people being selected.

I can improve the quality of the work by doing a stratified sample, the strata’s being different weights and heights, e.g. strata’s being <40 kg, 40-50 kg, 50-60 kg and 60+ kg.  So I equally chose equal number of people from each weight category.

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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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