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Investigate the height to weight ratio in terms of body mass index and how year group or gender may affect it.

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Introduction

Tina Qiu29th January 2003

Mayfield High School Investigation

Plan

        For my statistics coursework, I am going to investigate the height to weight ratio in terms of body mass index and how year group or gender may affect it.

My hypothesis is that the taller a person is then the heavier they are in terms of their weight to height ratio. In addition to that, as the year group increases the greater their height to weight ratio will be, this may also be affected by gender.

The reason for this may be because as people grow older they will need more food to supply the energy they need and boys tend to need more energy than girls as age progresses as they are more taller and perhaps are more active. I am expecting that there will be a positive correlation between the ratio of height in height to weight ratio and weight in height to weight ratio. This may be because the taller a person the heavier they are and so a shorter person may weigh less than a taller person. However gender or year group might affect this.

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Middle

282

8

145

125

270

9

118

143

261

10

106

94

200

11

84

86

170

Total

604

579

1183

To start of with I will find how many people there are in 10 percent of 1183 by dividing 1183 by 100 and then multiplying it by 10 to give me a total number of 118.3, by because I can’t investigate 0.3 of a person I will round down to 118. To then find how many boys and girls I will investigate in each year group I will take firstly the number of boys in each year group and divide it by 1183, which is the total number of pupils and then multiplying it to 118, which is the total number of pupil I will investigate in my coursework. I will then continue to do this with all boys and girls in each year. Once I know the number of boys and girls I will investigate in each year I

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Conclusion

Year 7 boys = 151 ÷ 1183 * 30 = 4

Year 7 girls = 131 ÷ 1183 * 30 = 3

Year 8 boys = 145 ÷ 1183 * 30 = 4

Year 8 girls = 124 ÷ 1183 * 30 = 3

Year 9 boys = 118 ÷ 1183 * 30 = 3

Year 9 girls = 143 ÷ 1183 * 30 = 4

Year 10 boys = 106 ÷ 1183 * 30 = 3

Year 10 girls = 94 ÷ 1183 * 30 = 2

Year 11 boys = 84 ÷ 1183 * 30 = 2

Year 11 girls = 86 ÷ 1183 * 30 = 2

Total of sample= 30 people

Once I have got my sample I will perform the following calculations – averages (mean, median, mode, etc), standard deviation, correlation coefficient and upper and lower quartile. These calculations will hopefully be useful as they will allow me to see clearly the correlation between the height in height to weight ratio and weight in height to weight ratio. The calculations I have chosen will also allow me to compare the data later on. I will also the information in the following diagrams – scatter graphs, cumulative frequency graphs, histograms, and box plots. My calculations and diagrams will enable me to see the correlation in the height and weight in height to weight ratio and also they will allow me to compare how year group or gender will affect it.

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