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  • Level: GCSE
  • Subject: Maths
  • Word count: 6472

The hypotheses I have to find out are the following:Boys are taller than girls The taller you are the heavier you are The more television you watch the larger the body mass index

Extracts from this document...

Introduction

Statistics Coursework This piece of coursework that I am doing is look at relations between height, weight, gender and Body mass index of Mayfield High School. I will do this by taking a sample of 118 out of 1183 students. The hypotheses I have to find out are the following: 1. Boys are taller than girls 2. The taller you are the heavier you are 3. The more television you watch the larger the body mass index. I will use the data given by my teacher and then do a stratified sample. I am doing the stratified sample so that I can get the right proportion sample for each year group. Using my calculator, I choose a random number between 1 and 10, and then go down for whatever number it is. For example, if the random number was 8 and there were 141 boys/girls in the year group I would choose the numbers 8, 18, 28, 38...38. Then I will use systematic sampling to get the right amount of people in each year group. The calculations for each year using the stratified sample are in the following: Year 7 Girls: 131 x 118 ? 13 1183 Year 7 Boys: 151 x 118 ? 15 1183 Year 8 Girls: 125 x 118 ? 12 1183 Year 8 Boys: 145 x 118 ? 15 1183 Year 9 Girls: 143 x 118 ? 14 1183 Year 9 Boys: 118 x 118 ? 12 1183 Year 10 Girls: 94 x 118 ? 9 1183 Year 10 Boys: 106 x 118 ? 11 1183 Year 11 Girls: 86 x 118 ? 9 1183 Year 11 Boys: 84 x 118 ? 8 1183 For my pilot questionnaire the questions I will ask are: 1. Are you male or female? Male ? Female ? 2. What year group are you in? 7 ? 8 ? 9 ? 10 ? ...read more.

Middle

60 Female 9 8 MacIntosh Halie 14 1.74 49 Female 10 8 Moloney Erin 24 1.62 51 Female 11 8 Patel Stephanie 25 1.65 49 Female 12 8 Spencer Kerry 9 1.59 55 Female I have drawn the line of best fit because it correlation co-efficient is 0.359667 which is more than 0.35. The scatter diagram has got a weak positive correlation. The equation for the graph y = 39.546x - 11.749. I predict that for someone that is 1.6m tall their weight would be: 39.546x H - 11.749 = 39.546 x 1.6 - 11.749 = 54.5246kg The result shows that my hypothesis could be correct. Year 8 Boys 1 8 Anderson Paul 24 1.67 52 Male 2 8 Borage Frank 20 1.74 45 Male 3 8 Casy Matthew 14 1.67 51 Male 4 8 Drago William 7 1.66 43 Male 5 8 Eagle David 16 1.53 45 Male 6 8 Hague Anthony 13 1.75 80 Male 7 8 Jarvel Kenneth 14 1.66 46 Male 8 8 Lall Alex 13 1.55 68 Male 9 8 Martin Todd 30 1.50 52 Male 10 8 Morris James 17 1.65 35 Male 11 8 Pritchard Gareth 7 1.74 61 Male 12 8 Shane Christopher 56 1.54 42 Male 13 8 Thomas Jonathan 20 1.60 74 Male 14 8 Walker John 17 1.56 50 Male I have not drawn the line of best fit because it correlation co-efficient is 0.1802 which is less than 0.35. The scatter diagram has got no correlation. This result shows that my hypothesis was incorrect. Year 9 Girls 1 9 Ali Hannah 3 1.62 52 Female 2 9 Bennett Susan 20 1.6 41 Female 3 9 Brown Caroline 37 1.59 48 Female 4 9 Campbell Nichole 1 1.57 62 Female 5 9 Davies Davina 7 1.55 52 Female 6 9 Green Sahara 21 1.54 54 Female 7 9 Higgins Jade 21 1.57 48 Female 8 9 Jones Carly 39 1.51 48 Female 9 9 Langtle Rebekah 7 1.51 65 Female 10 9 McDonald ...read more.

Conclusion

So the prediction 'the more television you watch the larger the BMI' is true in this case. Limitations I could have improved my results if I used a wider range of pupils. If I used the whole year than I could have more accurate results and also have more reliable results. I would have also used another school from a completely different area so that I can see if the heights and weights have anything top do with the environment or the school they go to. I can also get a deeper analysis about the hypotheses 1 and 2 so I would be able to have more reliable and more accurate results. If I were to change hypothesis 3 I would have asked the pupils if they play sport and how many hours a week hay exercise. I might be able to see if exercise plays a big part in BMI or not. This would further my analysis of hypothesis 3. Spearman's rank correlation 1.0 ? h < 1.2 1.2 ? h < 1.4 1.4 ? h < 1.5 1.5 ? h < 1.6 1.6 ? h < 1.65 1.65 ? h < 1.7 1.7 ? h < 1.8 1.8 ? h < 2.0 Mine 0 2 14 42 23 14 16 7 Person 2 4 16 28 28 18 19 3 Rank (Z) 8 7 4.5 1 2 4.5 3 6 Rank (J) 7 5 4 1.5 1.5 3 2 6 d 1 2 0.5 -0.5 0.5 1.5 1 0 d2 1 4 0.25 0.25 0.25 2.25 1 0 ?d2 = 9 1-(6?d2 / n (n2-1)) = 1 - (54 / 8 (64-1)) = 54/504 = 0.107 = 1-0.107 = 0.893 The correlation between my sample and the other persons sample is quit strong. This shoes that my sample is more or less correct and very good so most probably all my information is correct ?? ?? ?? ?? - 1 - Zaid Patel ...read more.

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