# The aim of the statistics coursework is to compare and contrast 2 sets of data. The data, which has been given to me, is from year 7 and year 9. The data is from Chatham House Grammar School, which is an all boy's school.

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Introduction

John Chapman Maths

GCSE Statistics Coursework

Aim

The aim of the statistics coursework is to compare and contrast 2 sets of data. The data, which has been given to me, is from year 7 and year 9. The data is from Chatham House Grammar School, which is an all boy’s school. There is different data such as eye colour, weight, height etc. All the data is from the pupils themselves.

## Introduction

In the statistics coursework I have been given secondary data, I have been given secondary data as the data was collected through a questionnaire. The different categories from the questionnaire include such things as eye colour, weight, height, shoe size, age, span and foot length.

In year 7 there are 75 pupils who completed the questionnaire, and in year 9 there were 72 pupils who completed the questionnaire. The questionnaire survey was carried out by a teacher called Mr. Tebbutt in May 2002. I have said when the survey took place because if it took place 80 years ago then the people would tend to be different heights eg. Smaller and also lighter.

I am now going to produce 3 hypothesis, which I am going to investigate in this piece of statistics coursework. The 3 hypothesis, which I have chosen, are:

- The most popular eye colour in year 7 and 9 is BLUE.
- Taller pupils weigh more.
- On average people in year 9 are taller than in year 7.

How I will Do The Hypothesis’.

## Hypothesis 1

To do hypothesis 1.

Middle

I will now put all the information into a bar graph and from this it will show me what the most popular eye colour is in year 7.

I will now use the same method for year 7 as year 9 and put all 30 pieces of data into a tally chart.

Colour Tally Cumulative Frequency

Blue ///// ///// /// 13

Brown ///// ///// // 12

Green // 2

Grey / 1

Hazel // 2

TOTAL 30

I will now put the data into a bar graph.

From the 2 different graphs that I have produced I will now put them together so I have year 7 and 9 on the same graph. From that I will hope to make a conclusion.

From this graph I can see that most pupils in year 7 and year 9 have blue eyes with brown eyes following closely behind. I can now conclude my first hypothesis by saying that the most popular eye colour in year 7 and 9 is BLUE. The conclusion for Year 9 is not a fair one as because if I had have used a wider spectrum of data then I think that the graph would be different as the blue and brown eye colour was very close. So my first hypothesis is correct!

#### Hypothesis 2

Taller pupils weigh more.

For this hypothesis I will plot 2 different scatter graphs. One for year 7 and one for year 9. From the graphs I hope to calculate the average height and weight for both the small and tall people or if it is obvious to see I will not calculate any results.

Conclusion

Also with the questionnaire some people may not have put the result to the nearest cm or rounded the results up instead of down or vice versa. Some students when answering the question may simply just not fill in the answer even if they know what the answer is.

During my project I used many different calculations and mathematical theories to help me answer my hypothesis. In the project I used Stem Leaf Graphs, Cumulative Frequency Tables and Curves and Box Whisker Plots also during the project I used tally tables and bar graphs.

I think I could attempt my project in a different way by choosing different hypothesis and maybe more hypothesis also do extensions and use different ways of calculating the hypothesis. E.g. use methods different to Box Whisker or Stem Leaf.

It is hard to make comparisons between the two year groups as they are so different. None of results were close when comparing the data. This may simply be because when boys are in year 9 they have developed more than people would in year 7. E.g. most probably taller and heavier. That is why comparing data from 2 different schools but in the same year may be a more effective task.

Overall I think the project went well although things could have been changed. I think my plan was quite well thought out and that it helped me quite significantly to complete the project.

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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