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My hypothesis is that there will be a positive correlation between the height and weight of both boys and girls, as each is an indication of rate of growth and therefore both should be similar

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Introduction

Maths Coursework Statistics Introduction: I plan to achieve results using the data presented of Mayfield. Using the data from years 7-11 (KS3 and 4), which has the height and weight information I need, I plan to take samples from each year group by taking every 12th result when sorted by surname and then overlooking by eye to filter any anomalous results. ). I plan to achieve results by placing the information available to me into graph to show height: weight. This will help me answer the questions posed in my investigation. However I would prefer to "make my own mistakes" as it were as opposed to relying on an automated system which may misinterpret information in this form. Therefore, despite the possibility of me failing to spot an anomalous result, I think this is the best way of overlooking - as the human mind is somewhat more complex and free-thinking than the confines of AI. I think this is the best way to keep my results fair, as I have confidence. . I will avail results of gender comparison to my investigation by having equal amounts of males and females: after 12 randomly picked samples I will continue sampling randomly but only select those of the under-represented gender. ...read more.

Middle

63 16, 7 Male 11.7 1.68 50 16, 1 Female 11.8 1.86 80 16, 0 Male 11.9 1.61 45 16, 10 Female 11.10 1.73 48 16, 10 Female 11.11 1.56 38 16, 3 Female 11.12 1.52 44 16,2 Female I placed the results into graphs for each year group comparing height to weight and analysed them for correlation. The results were as follows: Year Correlation 7 Weak positive 8 Strong positive 9 None definite 10 None definite 11 Strong positive My results on graph: I placed the results into graphs for each year group comparing height to weight and analysed them for correlation. The results were as follows: Year Correlation 7 Weak positive 8 Strong positive 9 None definite 10 None definite 11 Strong positive The results overall gave quite unsatisfactory results, as the sample taken had no great correlation as would be expected with a proportional trend between height and weight. There were many results that did not perfectly fit the trend but I am seeking to eliminate only those that affect any averages I may extract from the results greatly, and therefore I must determine which outliers need to be removed or replaced. At this point in the investigation I feel obliged to adjust the sample to produce more satisfactory results, as I have a good deal of confidence in my theories that these results are unordinary. ...read more.

Conclusion

This proves the second part of my hypothesis right as I predict that girls would be shorter than boys in the lower school. The graphs show that the girls grew at a much steadier rate whereas the boys grew and gained weight quickly. I am happy with the size of sample I decided to use as I didn't have too much data to handle but I did have enough to prove my theories. Stratified sampling was the most appropriate way of collecting a sample because as all the groups where uneven it made sure that I got a fair representation for each group. Systematic sampling is a very simple way of collecting data it does usually give fair results and if you come across an outlier then you can just chose the result underneath it instead. I believe that most of the data that I had was unbiased as I got varied results and although I did have some outliers, as you can see in upper school girls, there were only a few and they were easily corrected. A way of furthering this investigation would be to use data collected from another school. You could then compare the two sets of data and see if the results were similar. You could also use data from schools in different countries and see if that changes the relationship between height and weight. ...read more.

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