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• Level: GCSE
• Subject: Maths
• Word count: 1950

# For my Statistics coursework I have decided that I will compare weight and height. I will use the data that has been gathered from Mayfield high school and I will show various methods to prove my hypothesis correct.

Extracts from this document...

Introduction

Sara Sherwani 10C

Statistics Coursework

GCSE Data Handling Project – Mayfield High School

Introduction

For my Statistics coursework I have decided that I will compare weight and height. I will use the data that has been gathered from Mayfield high school and I will show various methods to prove my hypothesis correct. The data that I have collected is secondary data this means that it has been accumulated by someone else this could make the data unreliable. However, after evaluating the source of the data and seeing that even though primary data may be more accurate I have come to the conclusion that using secondary data would be more useful because primary data would take too long to get the vast amount of data needed to get accurate results.

When conducting my investigation I went through various stages

Hypothesis 1

Year 7s will not be as tall as the Year 11s

I have chosen this hypothesis because I think it is the most likely to be correct. From my personal experience being in a high school I can already observe the height differences between the younger children and the older. This hypothesis will result in a positive correlation.

Hypothesis 2

Females will have a higher BMI (Body Mass Index) than males

I think this hypothesis will be correct because I know that when girls go through puberty they develop more fat especially around the hips and waist. This is due to the natural course that every girl will go through.

Middle

Putting numbers in a hat and then selecting however many samples are needed (similar to bingo)

Although just writing down any random numbers your self would technically be random sampling it is not reliable enough as a number generator for instance as that is completely random.

Stratified Sampling

When doing stratified sampling the first thing you have to do is to divide the data in to different categories that some of the data have in common e.g. age, social class, hair colour, religion, gender etc. Once you have divided into groups you take a random sample. To make it equal you must take a sample size that is the same through out each category depending on how large it is.

Systematic sampling

This is done by choosing data to sample with in a certain interval. Although it is similar to random sampling it is known to be more efficient. It is more useful for large amounts of data for example if you wanted to get a sample of 40 students out of 200. And you took every 10 students; to pick the first student you would random sample between 1 and 10. So if 6 is picked, the 6th, 12th, 18th, 24th, 30th etc. number would be picked.

Cluster Sampling

Putting the data in ‘clusters’ or groups are simply done by first choosing an amount of data that should be in each cluster. Unless there is good reason, you should always make sure that each cluster has the same amount of data.

Conclusion

My third hypothesis was “Females will have a higher BMI (Body Mass Index) than males” for this I had used a wide range of data interpretation showing the data in box and whisker diagrams and histograms. The box and whisker diagrams enabled me to show the actual differences in the averages in the data and the histograms let me show the normal distribution and the standard deviation. I showed the histograms in frequency density which helped round out all the data. Problems I had occurred were using the equation to actually find out the BMI. I used a formula on excel which enabled me to easily and quickly find out the BMI this was “=J5/(I5*I5)”.

My last hypothesis “The taller you are the more you will weigh this will result in a strong positive linear correlation “ this was proved by using a scatter graph on the autograph software. This helped me show all the different statistics that I have analysed in my analysis.

I had achieved most of my aims but nothing in statistics is ever proved it just makes them seem more likely.

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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