For my course work, I have to investigate the relationship between two things, the height and shoe size ratio. I myself am going to use the weight to height ratio, as it will make more sense than the others will.

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INTRODUCTION

Mayfield School is a high school. It consists of 1183 pupils in total. Each year has a varying number of students. The school is a mixed.

In the chart below, I will show the varying number of male, female and overall results of the pupils in the school.

AIM

For my course work, I have to investigate the relationship between two things, e.g. the relationship with the height and shoe size ratio. I myself am going to use the weight to height ratio, as it will make more sense than the others will.

PREDICTION

I predict that the older the person, the heavier they he/she is, the bigger shoe size he/she has, and the taller he/she is.

HOW DO I COLLECT MY DATA?

There are many ways I could collect my data. I could write down the names of every student in the school and pick one out of the bag, or I could think of a number and the name it represents I will write it down, or I could simply guess the number and write it down. It is possible to use any one of these methods, but I was convinced in the end to use the random number generator in my calculator, which is the fairest thing to do. I have chosen 20 boys and 20 girls for the fairness of comparing each other.

METHOD

As I have said above, I am going to use the random sampling method via my calculator. I am going to show in example 1 how I am going to do this

Example 1

No. of students = 1183

Random number generated = 0.567

Therefore, 1183×0.567

= 670.761

This is rounded off to the nearest whole number and becomes 671.

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I have done this over 40 times and here are my results

All my chosen pupils have been put in order for easier reference, starting from year 7 down to year 11.

WHAT I HAVE FOUND OUT

In my results, I found out that my prediction was wrong, as the weight has varied in some of the year groups. Therefore, the person can be any age and they can have different weights.

TALLY FOR BOTH GIRLS AND BOYS TOGETHER

WEIGHT FREQUENCY TABLES

HEIGHT FREQUENCY TABLES

WEIGHT FREQUENCY GRAPH (kg)

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