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# Maths Courswork - Mayfield High School

Extracts from this document...

Introduction

Maths Statistics Coursework

## Introduction

In this piece of coursework, I am going to investigate if there is a relationship between height and weight between Year 7 and Year 11 students.

I am going to be using secondary data from the fictional Mayfield High School. I will be using a number sample then will be adding the total for girls and boys, and then find 20%.

The sample will only be a percentage of the pupils to keep the data to a manageable extent. I will calculate different averages of the data, including mode, median and range of the different sets of data for both year groups, to calculate the average student. I will then put these into graphs, including scatter diagrams and box plots.

## Hypotheses

I had to choose what hypotheses I would be testing. Some possibilities included:

• Variation in Eye or Hair Colour
• Distance from School and Method of Travel
• Height and Weight

The hypotheses I will be testing are -:

• As height increases, so does weight
• There is a link between the height and weight of Year 11 and Year 7 Boys and Girls
• Are there any other relationships between the height and weight between Year 7 and Year 11 students

Middle

h 170

|

1

## Year 11 Girls

 Height / h (cm) Tally Frequency 130 h 140 | | | 3 140 h 150 | | 2 150 h 160 | | | || | | || | | || | | || | | || | | || | | || | | || | | 43 160 h 170 | | | 3 170 h 180 | | | |  | | 7 180 h 190 0

## Year 11 Boys

 Height / h (cm)

Conclusion

## Year 7 Boys

The graph is evident that as the height increases, so does the weight of a person, which accords to my original hypothesis. There is one anomaly, however, where a student of 1.64 in height weighs 140.

## Year 11 Girls

The graph is evident that as the height increases, so does the weight of a person, which accords to my original hypothesis. It is evident that there are little (if any) anomalies.

## Year 11 Boys

The graph is evident that as the height increases, so does the weight of a person, which accords to my original hypothesis. It is evident that there are little (if any) anomalies.

I will now compare the mode, median, mean and range of the height and weight.

Height

 Gender/Age Group Mode Median Mean Range Girls Y7 1.52 1.52 1.51 0.61 Boys Y7 1.59 1.54 1.54 0.37 Girls Y11 1.62 1.65 1.64 0.91 Boys Y11 1.62 1.62 1.63 0.60

Weight

 Gender/Age Group Mode Median Mean Range Girls Y7 47 44 45 32 Boys Y7 42 45 42 27 Girls Y11 54 52 54 50 Boys Y11 57 49 47 21

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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