For my coursework I will be doing an investigation of the heights and weights at Mayfield High School.

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Matthew Abraham        Maths Coursework        01/05/2007

Mathematics Coursework

For my coursework I will be doing an investigation of the heights and weights at Mayfield High School. This is fictuous Data and I will be taking a stratified Sample of 60 Pupils that will be representative of the whole school. I will be using 60 because it is an easy number to graph and to make into cumulative frequency graphs. Also it is a better number to average and it will not be too hard to do things with.

I will be trying to see if the height of boys increases more than the heights of girls. I will do this by working out all of the averages and I will also make some histograms and cumulative frequency graphs.

To take a stratified sample of the boys and the girls I started by working out how many of each strata to take.

This is the original numbers of Pupils in the Year Group:

To get a stratified sample of this group I will take the number in the year and divide it by the total number of pupils then multiply that by the total sample size which is 60

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From this data I have found that I need to take a stratified sample of the following numbers from each year group.

When rounded up these numbers become the following Data

As you can see there is one too few in the girls group. I solved this problem by adding another girl into the group. To decide how to do this I used the following method.

I started by taking all of my results down to 2 decimal places as before and seeing which two was the closest to being rounded up that weren’t rounded ...

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