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• Level: GCSE
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# mayfield statistics

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Introduction

Handling data   -  Ahmed Al-Rubie 10s

Mayfield High school

Introduction

In this coursework my aim is to develop a statistical investigation.

I will work on the relationship between height, weight and gender.

I will need to collect the information of height and weight of students. One way to achieve this is by using primary data. This is data I have collected myself. The advantage of this is that I can control accuracy and reliability. The disadvantage is that’s its time consuming and I have little access to data. The second method is secondary data. This is work from a database for example. This work may be bias and accuracy cannot be tested/checked but on the other hand, there’s a massive range of data to be accessed and it’s extremely quick and convenient. I will use secondary data which I will get from the edexel website.

However I will first make a hypothesis. I will then take a sample, process the data, show the information graphically and then finally make a conclusion

Theory

1. I think at a younger age girls are taller as they go through puberty earlier then boys as they have their growth spurt before them therefore I believe year 7 girls will be taller then year 7 boys. I also believe this would have turned around by the time everyone reaches year 11.
2. I think that boys are taller and heavier then girls as they

Middle

Mills

Robert

Male

1.63

50

7

Barding

David

Male

1.64

50

7

Bolton

Paul

Male

1.65

69

7

Croft

James

Male

1.65

64

7

Dever

Ben

Male

1.65

52

7

O'Brian

Greg

Male

1.65

50

7

Volly

Chris

Male

1.65

40

7

Hussain

Frederick

Male

1.67

63

7

Choudry

Qamer

Male

1.68

45

9

Rites

Auther

Male

1.43

60

9

Brooder

Andrew

Male

1.46

45

9

Samas

Sam

Male

1.48

43

9

Castle

Daniel

Male

1.55

51

9

Mahmood

Male

1.56

60

9

John

Simon

Male

1.56

60

9

Gunet

Armede

Male

1.60

68

9

Langley

Sam

Male

1.60

40

9

Mayton

Fred

Male

1.60

70

9

Bravendere

Andrew

Male

1.62

40

9

Taylor

Hugh

Male

1.62

52

9

Munir

Asam

Male

1.63

40

9

Marsh

Bubble

Male

1.64

35

9

Creddle

John

Male

1.67

52

9

Durden

Tyler

Male

1.70

85

9

Humza

Asim

Male

1.70

42

9

Seedat

Schel

Male

1.70

50

9

Gibb

Mike

Male

1.75

52

9

Truman

Paul

Male

1.80

42

9

Weed

Zac

Male

1.80

51

11

Smith

Michael

Male

1.52

45

11

Cullen

Sam

Male

1.55

54

11

Francis

Henry

Male

1.58

54

11

Fairfax

Jacob

Male

1.62

51

11

Hawkins

Tim

Male

1.62

63

11

Hughes

Mark

Male

1.65

58

11

Marice

Stuart

Male

1.71

54

11

Browne

William

Male

1.72

58

11

Paul

Niel

Male

1.72

64

11

Perlains

Carl

Male

1.76

62

11

Warne

Michael

Male

1.84

76

11

Brown

Kevin

Male

1.85

73

11

Hope

Steven

Male

1.96

93

11

Male

1.97

84

Hypotheses 1

I earlier stated that I believe in Year 7, girls will be taller than year 7 boys in general whilst year 11 boys will be taller then Year 11 girls in general. I will test this by drawing a box plot graph and showing the inter quartile range which will give us a clearer idea and this should prove my theory correct.

(Graph)

Hypotheses 2

My second hypotheses is that boys, in general, will weigh more then girls because as boys go through puberty, they naturally grow height and with this height, they also gain weight naturally for needs to work such as physical activity.

To do this, I shall create graphs plotting height against weight for boys and girls and comparing these.

Graph 1

To see if there was a positive correlation between height and weight as I had predicted, I plotted my sample results onto a scatter graph and found that the first part of my hypothesis (that there is a positive correlation between height and weight) was not well supported by my results. As you can see, there is relative positive correlation between the two parties. This evidence can lead me to suggest that the taller you are, the heavier you way if you’re a girl. Even though there is slight variation, with the two extremes being on show, we c an still form a conclusion out of this. The line equation suggests that for every meter you grow, you gain approximately 21 kg on average. To see differentiation between girls and boys, I shall now make a graph plotting boy’s height vs. weight and see if there’s a correlation and compare that with the above graph.

Graph 2

As you can see, the correlation is very good as the gradient is quite steep. This evidence can also lead me to suggest that the taller you are, the more you weigh if you’re a boy. However, the line equation suggests that for every meter you grow if you’re a boy, you gain approximately 51 kg on average. This means boys are taller and weigh heavier than girls, thus proving my second hypotheses exact.

I will now advance to work out the product moment correlation (PMC) of each graph so I can see how strong the correlation is for each graph and the difference between the strength of the correlation for boys and girls.

Product Moment Correlation

I will use this to find out how much correlation there is between height and weight for both genders and for all the year groups I am studying. This will hopefully give us a deeper insight into the difference there is between everyone.

I will start by working out the PMC for the girls. The way to do this is by using this table:

 x y x² y² xy Total

Conclusion

I could have improved my investigation by increasing my sample size to create a more accurate result. This might have changed my results but would have taken longer. I also could have obtained primary data because then I could control the accuracy of the data. This would have prevented any anomalies occurring and would have lead to more reliable data being produced.

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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