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  • Level: GCSE
  • Subject: Maths
  • Word count: 1985

Statistics Coursework

Extracts from this document...

Introduction

Edexcel GCSE Statistics - Coursework Aim * My aim in this coursework is to investigate a possible relationship between the heights, weights and gender of a number of runners who are members of a club. Hypothesis * My main hypothesis is that generally, the taller someone is the more they are going to weigh. Sub-Hypotheses * I believe that for females, there will be a stronger correlation between height and weight. * I also believe that on average, males are going to weigh more and be taller than females. Plan * I am going to collect data about the club members from the Edexcel website. Despite the fact that this is secondary data, I believe Edexcel (a recognised examination board) to be a trustworthy source. * I am going to take a random sample of the club members, stratified on gender. This will provide me with a sample representative of the population. I am going to take data from 100/277 of the population, as I believe that this will provide enough data to support my hypotheses. I am also going to take the sample using the random number generator button on a calculator, as this will help to eliminate bias at this stage. * As I only require the heights, weights, and gender of the club members, I am going to sort the data using Edexcel so that only the necessary fields are shown. Any anomalous results in the data will be replaced by a new result, to help ensure that the data is as accurate and informative as possible. ...read more.

Middle

A Scatter Graph to Show the Heights and Weights of Runners at the Club - * As you can see from the graph, there is a strong positive correlation between the heights and weights of the runners. This means that generally, runners whom are taller also tend to weigh more. This supports my main hypothesis regarding a relationship between these two sets of variables. * In order to examine the strength of the correlation more accurately, I am going to calculate SRCC for the data including all runners. Also, in order to test my first sub-hypothesis, I am going to calculate SRCC for each gender separately, in order for me to compare the strength of the correlation for each gender. Spearman's Rank Correlation Co-Efficient * Here are the results of the calculations. The actual calculations have been attached at the end of the coursework, along with the box plot diagrams. Data Spearman's Number Correlation? Female 0.987175 Strong, positive Male 0.997715 Strong, positive Combined 0.994247 Strong, positive * All three calculations show a strong positive correlation. This indicates that, as height increases, weight also increases - with both genders showing very similar patterns. This evidence supports my main hypothesis, as I stated that the taller someone is, the more they are going to weigh. * From these calculations, we can also interpret that females do not show a stronger correlation between height and weight. This evidence does not support my first sub-hypothesis, as I stated that I believed completely opposite patterns would be observed. ...read more.

Conclusion

However, the difference between the Spearman's number for the males and females was only miniscule. This, to me, suggests the results may not be completely reliable - if there was a larger gap, then I would be convinced my first sub-hypothesis was incorrect. But the small gap influences me to believe otherwise. Suitable improvements which I would suggest in order to correct the aforementioned invalid conclusions would be - * Conduct a larger sample, with a larger population. Although this may prove costly and time consuming, I believe it will be worthwhile as the data will be more consistent and reliable, and therefore more accurate conclusions could be drawn. * Control all untested variables, such as age. These factors may have affected the overall outcomes, and therefore impinge upon the precision, distorting the results. For example, the tallest male may also be the oldest male, and have hit puberty - I believe that both of these factors will have affected his height. Although, my results seem to be fairly accurate, I would still advised the control of external variables to ensure that my conclusions are correct. Both of the improvements mentioned will lead to more reliable results, as the first will determine whether there is a constant relationship and the second determining whether there is a relationship between these two variables. From this investigation, I have decided that my main hypothesis and second sub-hypothesis are correct (however, I cannot be completely certain). I also believe, that my first sub-hypothesis is correct, and the improvements mentioned (primarily the larger sample size) would support this. * ?? * ?? * ?? * ?? Ryan Denny - Littlemoss 1 ...read more.

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