Jason Choi 10B   Maths Set 0             Maths Coursework

Introduction

I have chosen three categories, which are the height, hand span and the shoe size from the data. My first hypothesis is that taller people will have

bigger feet. My second hypothesis is that taller people will have bigger hand spans. I think that there will be a positive correlation between the height with shoe and hand size because it’s common sense. Most people I see on the streets have big hands and feet when they are tall. I think that both correlations will be very high because of this.

I picked a sample of 50 people because 50 out of about 261 pupils will be just about 20% of the people. It uses some of the people and 50 is a nice number to work with.  I picked the sample of 50 by using stratified sampling since a random choice is not representative. The sample might contain all 50 boys or all 50 girls might it is random. Also, a stratified sample is more representative because it would be accurate by being based on the information, but it is not perfect.

The data that I needed to stratify are the date of births and the gender of the pupils because older pupils are normally taller.  

I counted all the pupils and it came up to 261 pupils, 129 boys and 132 girls. To stratify the data and find out how many boys were born in September, I divided (/) the amount, which is 11 by the total amount, which is 261, and times (x) by 50, the amount of sample needed.

If any data is missing or obviously wrong, I will use another person instead.

11/261x50=2.1

I did that for all of the amounts. 14/261x50, 7/261x50 etc

Next I rounded up the numbers to their nearest whole number.

I then picked out the 50 samples by random with the three categories that I needed, which are the height, the hand span and the shoe size.

I will use scatter diagrams and spearman’s rank to see what correlation the two hypothesis has and how strong the correlation is.

Scatter Diagrams

A scatter diagram tells you how closely two things are related, the term correlation.

A Strong Correlation means the two things are closely related to each other. A Weak Correlation means there is very little relationship. The line of best fit is a line that roughly goes through the middle of the points. The line can start from anywhere, not just from the y-axis and it doesn’t have to go through any of the points exactly but it can. If the line slopes up it’s positive correlation, if it slopes down it’s negative correlation. No correlation means there’s no linear correlation.

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 e.g

Hypothesis 1, taller people have bigger feet.

This scatter diagram has a positive correlation because the line of best fit has a positive gradient. We know that this diagram is only moderately strong because the points are not close together. They are not reasonably close to the line of best fit but this shows that taller people have bigger feet.

Hypothesis 2, taller people have bigger hand spans.

This scatter diagram has a positive correlation. This diagram has ...

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Here's what a teacher thought of this essay

A good thorough piece of work but many of the formulae and diagrams are not showing properly or have simply been omitted. However, reasonable use of Speasrman?s and standard deviation. 3 stars