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• Level: GCSE
• Subject: Maths
• Word count: 2767

# elationship exists or can be established between the height and weight of students

Extracts from this document...

Introduction

Tanveer Virdee 11G3                October 2004

## Aim

The aim of this investigation is to distinguish if a relationship exists or can be established between the height and weight of students ageing from 12 yrs to 16 yrs in year groups 7 to 11 in a mixed in a boys and girls school.  To execute this investigation I have to acquire information from Mayfield School survey, this will provide me with the relevant data which will be interrogated and analysed to investigate the hypothesis.

## Prediction

The hypothesis for this investigation, in relation to the aim, is that the taller the person the heavier their body weight for both boys and girls.  But that this proportion is different between girls and boys.  The ratio of weight to height is lower for girls than for boys.  This overall prediction may show anomalies which may contradict the hypothesis.

## Method

The method used in this investigation will consist of the following processes.;

1. Firstly I will gather the relevant information from the Mayfield survey and put the data into order for every year group by gender.  The summary results are shown in the Table 1

## Total

7

151

131

282

8

145

125

270

9

118

143

261

10

106

94

200

11

84

86

170

Total number of pupils

1183

Table 1 – gender by year group

1. I will be using a

Middle

Skinner

Danny

Male

1.59

41

8

Casy

Matthew

Male

1.67

51

8

Colt

Quamer

Male

1.68

45

8

Kallinas

Jake

Male

1.70

69

8

Alfred

Anthony

Male

1.72

51

8

Hamilton

John

Male

1.75

62

8

Alander

Male

1.77

54

8

Freeman

Ian

Male

1.82

64

8

Malone

Matthew

Male

1.82

70

8

Dempsey

Simon

Male

1.83

64

Random selection for Year 9

 Year Group Surname Forename 1 Gender Height (m) Weight (kg) 9 Hardman Rachael Female 1.45 51 9 Calg Natalie Female 1.5 45 9 Taylor Bethany Female 1.52 48 9 O'Neill Krisila Female 1.54 36 9 Greenhalsh Stacey Female 1.55 57 9 Power Leoni Female 1.56 63 9 Atkins Patience Female 1.57 40 9 McDonald Louise Female 1.59 46 9 Howarth Kirsty Female 1.62 54 9 Kalidas Jessica Female 1.62 41 9 Saleem Adila Female 1.64 70 9 Packham Amanda Female 1.65 49 9 Waugh Melaine Female 1.68 47 9 Clough Samantha Female 1.71 54 9 Dover Ben Female 1.8 57 9 Vasel Ricardo Male 1.55 67 9 Dwyer Tommas Male 1.58 65 9 Butt Michael Male 1.61 38 9 Bravendere Andrew Male 1.62 40 9 Jones Kev Male 1.62 49 9 Taylor Hugh Male 1.62 52 9 Agha Hosaib Male 1.66 54 9 Grimshaw Chris Male 1.70 50 9 Hardy Matt Male 1.70 47 9 Humza Asim Male 1.70 42 9 Lees John Male 1.70 55 9 Smith David Male 1.70 48 9 Bigglesworth Wayne Male 1.77 66 9 Crawford Jamie Male 1.80 51 9 Truman Paul Male 1.80 42

Random selection for Year 10

 Year Group Surname Forename 1 Gender Height (m) Weight (kg) 10 Ashiq Azra Female 1.60 56 10 Bhatti Hannah Female 1.72 56 10 Brown Verity Female 1.56 56 10 Collins louise Female 1.71 54 10 Eden Laura Female 1.53 65 10

Conclusion

For all the females from years 7 to 11 had either positive correlation or no correlation at all, girls tended to follow the general idea that the taller you are the heavier you are.

For all males from years 7 to 11 had positive correlation apart from one year where we could say that we were shown negative correlation, year 9 males did not fit the general term where we have someone that is 1.55m tall and weights 67kg (approx) and someone who is 1.80m and weights 42kg (approx) this results in a negative gradient.

I later went on to see if there was a relationship between every female and every male, I found that there was stronger correlation within female as every pupil was close and compact and there was a fairly strong correlation within boys but still a couple of pupils did not fit the trend.

A larger sample would provide a greater level of confidence in the analysis as relying upon a random selection can only provide a certain level of mathematically based confidence

All my work was carried out using Microsoft Word and Excel.

of

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