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• Level: GCSE
• Subject: Maths
• Word count: 1555

# Compare weight and height.

Extracts from this document...

Introduction

Paul Gallagher 11HY

Plan

I am going to compare weight and height

I will choose a random sample of 50% of all the people in year 11 this will be a mixture of 85 boys and girls. I have chosen a random sample because then the results will be fair.

I will get the random sample by using the RND button on the calculator. To do this press 2ndf, RND x 100. then with the resulting number find the corresponding number on the Mayfield data.

I have chosen height and weight because I think that there will be a very strong relationship.

I will look at the people in year 11 because there will be a larger difference in height and weight than if I used the data in year 7, and so my results will be better and easier to use.

My hypothesis is that the higher weight then the taller the person will be.

The data

Below is the random sample of 85 boys and girls in year 11. Some of the data was missing

Middle

Johnes

Jimmy

Male

1.94

80

11

Jonson

Kirten

Female

1.74

39

11

Kaleem

Humaira

Female

1.69

54

11

Kelly

Freda

Female

1.60

45

11

Kelly

Sarah

Female

1.55

60

11

Kent

Philip

Male

1.86

80

11

Krane

Male

1.68

63

11

Lewis

James

Male

1.68

56

11

Major

William

Male

1.8

68

11

Mamood

Keith

Male

1.68

58

11

Margeus

Nichola

Female

1.61

45

11

Marta

Sana

Female

1.52

45

11

Mathers

Marshall

Male

1.7

56

11

McCarthy

Farrah

Female

1.59

42

11

Jenny

Female

1.62

38

11

Jenny

Female

1.70

60

11

McGuire

Frederick

Male

1.67

70

11

McMillan

Collen

Female

1.58

48

11

Mitchell

Nikayah

Female

1.73

48

11

Mole

Male

1.64

60

11

Morrison

Simon

Male

1.92

45

11

Mustaq

Sumreen

Female

1.72

51

11

Neeley

Debroah

Female

1.68

47

11

O'Donall

Megan

Female

1.33

55

11

Oliver

Marcus

Male

1.57

49

11

Paul

Niel

Male

1.72

64

11

Peckeleka

Chantel

Female

1.56

38

11

Peterson

Louise

Female

1.65

54

11

Powers

Alan

Male

1.57

54

11

Ratty

Louise

Female

1.65

59

11

Robinson

Luke

Male

2.06

84

11

Shaheen

Molandar

Male

1.63

59

11

Singh

Norman

Male

1.51

38

11

Skeely

Jenifer

Female

1.60

66

11

Small

Peter

Male

2

60

11

Smithers

David

Male

1.78

37

11

Spangle

Timothy

Male

1.65

45

11

Stevenson

Sarah

Female

1.59

45

11

Tazmer

Leigh

Female

1.76

56

11

Thompson

Kamara

Female

1.71

42

11

Thomson

Female

1.52

48

11

Turner

Louise

Female

1.60

55

11

Ward

Alexander

Female

1.70

54

11

Warwick

Emma

Female

1.69

50

The first thing that I am going to do with the data is put it in tally charts. This will show me where

Conclusion

Cumulative Frequency

Cumulative frequency tells you how often a particular result was obtained. Below are the cumulative frequency tables for height and weight of a mixture of 85 boys and girls in year 11.

 Weight (kg) Frequency Cumulative Frequency 30-40 6 6 41-50 25 31 51-60 36 67 61-70 9 76 71-80 5 81 81-90 2 83 91-100 1 84

This table does not add up to 85 because I had to ignore one of the pieces of data because it was incorrect and did not make sense.

 Height (m) Frequency Cumulative Frequency 1.30-1.40 1 1 1.41-1.50 0 1 1.51-1.60 16 17 1.61-1.70 38 55 1.71-1.80 20 75 1.81-1.90 4 79 1.91-2.00 5 84 2.01-2.10 1 85

I can now draw cumulative frequency graphs

Below is the cumulative frequency graph for the weight of pupils in year 11.

Below is the cumulative frequency graph for the height of pupils in year 11.

Conclusion

I have come to the conclusion that the taller the person the heavier they are. This is shown because the correlation of the scatter graph which has both height and weight on it is positive this means that as height increases so does weight. For example one of the pupils was 1.52 meters tall and he weighed 45 kg and a pupil who was 1.7 meters weighed 56 kg.

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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