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I am going investigate the height and weight ratio in terms of the body mass index. For this investigation I shall be sampling a fictitious high school called Mayfield. Below is a table containing the data that was provided for us:

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Introduction

Maths Coursework: Handling Data Hypothesis I am going investigate the height and weight ratio in terms of the body mass index. For this investigation I shall be sampling a fictitious high school called Mayfield. Below is a table containing the data that was provided for us: Year Group Number of Boys Number of Girls Total 7 151 131 282 8 145 125 270 9 118 143 261 10 106 94 200 11 84 86 170 I would expect to find that a taller person would weigh more, so, if I was to draw a scatter graph it would show strong positive correlation. Plan For my investigations I need to work out what data and diagrams I need to use in order to obtain the best results Sampling For my investigation I am going to have to take stratified samples from each year because otherwise there would be far too much data to handle. I have decided to take a sample of 30 boys and 30 girls from the whole school. I chose this as it is, I think, the smallest amount that would allow all the year's to be represented fairly and clearly when analysed. As stated above I shall take a stratified sample, I will split them up into strata's of year's and gender. ...read more.

Middle

7 Harrison Julie Jane 12 1 January Female 1.30 36 7 Jones Gemma 12 7 December Female 1.53 47 7 Pledge Lucy Marie 11 11 August Female 1.48 37 7 Smith Mary Ann 12 4 March Female 1.62 40 8 Cat Bev 12 11 August Female 1.61 52 8 Dickenson Sarah 13 8 November Female 1.64 44 8 Dolton Teyuba 13 9 October Female 1.62 80 8 Hanley Gemma Louise 13 8 November Female 1.62 57 8 Jason Caren 13 3 April Female 1.70 53 8 MacIntosh Halie Kay 13 4 March Female 1.74 49 8 Stapeley Jane 13 5 May Female 1.72 57 9 Brown Caroline Louise 14 9 October Female 1.59 48 9 Crisley Pheonia Brit 14 8 November Female 1.57 52 9 Jasper Elizabeth Heather 14 6 January Female 1.68 57 9 Lemane Kirstie Victoria 14 8 November Female 1.5 54 9 Mohammed Kiran 14 1 June Female 1.58 36 9 Mosler Samantha Jane 14 2 May Female 1.58 36 9 Padd Lilly Leaf 14 8 November Female 1.58 48 10 Bullock Janice Maria 15 1 June Female 1.72 51 10 Chayse Erica Baltimore 15 10 September Female 1.79 52 10 Hall Lisa Katie 15 2 May Female 1.78 52 10 Martin Jane Mary 15 4 March Female 1.67 48 10 Thorpe Katrina Pauline 15 ...read more.

Conclusion

This may be significant if samples from inner city schools both state comprehensive and private schools were all included in the sampling, as the inner city schools have poorer, less healthy and less active pupils to private rural schools. One area of my investigation which would benefit in particular from more detailed analysis would be the apparent lack of correlation between height and weight of boys below the height of 1.5 meters. I could select a larger sample, of perhaps 50 boys, in this height category and examine whether this lack of correlation remains. I am happy with the girl's results in that the data has, comparatively, a fairly low standard deviation in the graphs. Most of the data lies near to the line of best fit. As in all, or most, data there are some anomalies present but they did not come as a surprise. In addition to investigating into the height and weight ratio in terms of BMI, I would like to explore more into the effect of the schools location on the average BMI reading of their pupils. I would use almost the same method, as in this experiment. However because of the unpredictability of the data my method may change a few times throughout the course of my investigation. ?? ?? ?? ?? Alex Mytton Maths coursework ...read more.

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