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Mayfield High school introduction

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Introduction

Introduction to Maths Statistics Coursework

For my year 11 coursework project I have been asked to complete a statistics project. The aim of my coursework project is to demonstrate as many data handling skills as possible in the form of a report on a statistical hypothesis. I have decided to demonstrate my knowledge by using the line of enquiry of Height and Weight as this is continuous data and will therefore give me better accuracy, more data and will make it easier to compare the certain types of data which I will collect. The information is about the fictional school ‘Mayfield High School’. I have been given data on all children attending this school and their heights and weights in the form of an Edexcel spreadsheet.

As the school consists of 1183 children I have decided to take a stratified sample on each year group. I chose stratified sampling as my method of sampling as it uses the proportion of each group in the sample matching the proportion of each group in the entire population. I chose the sample size of 10% as this is easily divided and presented to other people. The method of stratified sampling is very accurate and through my working of 10% I have found my sample size to be 118 (10% of 1183=118) which I have rounded up to 120.

Through my chosen

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Middle

8

Year 11 Girls

8

After Finding out how many I would be sampling from each year and gender I went and found out the random students from each year and gender. Bearing in mind the more students that I will sample the more reliable my data will be in proving my hypothesis, I learned of certain methods I could use to get the randomly chosen children that I would be basing my hypothesis on. The idea I used to find these numbers was (Ran# x Group Size) + number in previous group. For year 7 boys there was no previous year so I added 0, this is what the equation looked like (Ran# x 151) + 0. For my second group (Year 7 girls) I had a previous group to add onto it so the equation looked like this (Ran# x 131) + 151. I maintained this same formula throughout my year groups. I received random numbers with decimal points on them so I rounded down, which is the method that I will consistently do throughout my Data Handling Coursework.

After doing this the 15 numbers I received from year 7 boys were student number (in order of how I received them): 1, 36, 93, 39, 10, 85, 44, 121, 80, 43, 107, 47, 43, 93,and 34.

I then went on to year 7 girls the 13 numbers I received were student number (in order of how I received them): 193, 202, 156, 281, 267, 208, 167, 279, 233, 210, 219, 163 and 172.

I then changed year groups to year 8 and received 14 numbers for the boys in that year group were student number (in order of how I received them): 393, 376, 421, 293,409, 325, 417, 364, 288, 424, 375, 414, 425 and 392.

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Conclusion

The next graph chosen to try and prove my hypothesis and show my data handling skills was a cumulative frequency. I decided to use this graph as it’s the best way in presenting the lower quartile, the upper quartile and the inter quartile range. It also a way I can use another graph I wanted to use which is a boxplot. The reason I chose as my fifth graph to be a boxplot is because it represents a visible view of my data shown in the cumulative frequency graph. I will use it next to my cumulative frequency in order to show this.

The last graph I will use is a stem and leaf graph as this is a good way to show the comparison between data aswell and is again very easy to show some of my data handling skills. This is also a better graph to comment on because it is easy to write about as it is neat and easy to see all data how you want to see it and show off some of the techniques I have learnt about this graph.

After I have designed these graphs commented on all them and shown my data handling skills I will have to write up my conclusion. This will consist of what I have found out about my hypothesis and the new skills I have learnt through this coursework project. At the end of my coursework I will have an introduction, my results about my hypothesis and finally conclusion.

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This student written piece of work is one of many that can be found in our GCSE Height and Weight of Pupils and other Mayfield High School investigations section.

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