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  • Level: GCSE
  • Subject: Maths
  • Word count: 2377

Data Handling - Height vs. Weight at Mayfield High.

Extracts from this document...

Introduction

Mathematics GCSE Coursework Data Handling - Mayfield High PLAN OF ACTION In this coursework, I shall investigate whether there is a correlation between the height and weight of students at fictional school, Mayfield High. I expect there to be a positive correlation between the height and the weight of the students as it would make sense if the taller someone was, the heavier they would be. I am going to investigate the differences between each year, and between male and female overall. I am doing this for a number of reasons. Firstly, the range in the higher years is likely to be lower because a lot of people have finished growing, or have passed their optimum growth rate. Therefore the data is likely to be more close together. I also feel it would be interesting to see if there is a difference between the correlations of males and females and what these differences are. To help me do this, I am going to create scatter graphs, histograms and box and whisker plots, as I feel that this will help my investigation a lot. I will use scatter graphs to compare all of my data and find correlations and standard deviation. I will use my histograms and box and whisker plots to investigate further the weight differences between each year and the boys and girls. ...read more.

Middle

MEANS * The mean height increases throughout the years. This is to be expected as people are growing as they become older. * The weights also increase throughout the year, but decreases from year 10 to year 11. This is peculiar as one would think that the mean weight would increase from year 10 to year 11, as the students should have grown in between the years. However, it could be that this particular year 10 is heavy, or that these year 11s are particularly light. * We can also see that the boys are on average taller and heavier than the girls, which is to be expected. * We can see that the mean weight of all the students is 51.03kg and that the mean height is 1.618m STANDARD DEVIATIONS * As stated earlier, I would have expected the heights in the lower years to be a lot more spread out, hence the standard deviation being higher, but this proves quite the opposite. Even though it may it looks a little random, it seems that the standard deviation gets higher as the years increase. * This is also true of the weight standard deviation. It seems that against my prediction, the standard deviation increases as the years increase, meaning the data is more spread out. SPEARMAN'S RANKS * These show us how strong a correlation is. ...read more.

Conclusion

2. See if there was any noticeable pattern throughout the years in height and weight. 3. Investigate the differences between the genders in height and weight. Now I can see how well I have satisfied these aims: 1. As predicted, I found that there was a positive correlation between height and weight and that they were directly proportional. 2. Contrary to my prediction, I could not find any definite pattern regarding how spread out the data was. I am a little surprised at this as I feel that the year 7s would have in fact been more varied in their height. However, it could be that because the year 11s have had more time to grow, some have grown tall and some have remained short, and time has allowed the gap between them to widen. However, I did manage to find that the height and weight, in general, increased as did the years, as I predicted. However I felt this quite obvious in the first place as people are bound to grow. 3. With regards to the genders, I was not sure what to expect. However I did find that boys were on average taller and heavier than the girls. I also found that the boys' weights are far more spread around, as evidenced by the standard deviation and the histogram. The girls' heights seem to be clustered around the median, which is interesting as it seems to imply that girls have much more similar weights. Rajan Mahon - Gravesend Grammar School Mathematics Coursework 1 ...read more.

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