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• Level: GCSE
• Subject: Maths
• Word count: 3829

# Testing 3 Hypotheses on Pupils Height and Weight.

Extracts from this document...

Introduction

Jane Hird  10D

Statistics Coursework

Introduction

For this project we were given data about an imaginary High School. Data was given for all students and included eye colour, weight, IQ, Exam Results and many other categories. Looking at the data I decided to base my investigation on height and weight. I chose this as there are many different factors I could test.I will be looking to try and find similarities between the data given. I will be using secondary data because I was given the data and I didn’t collect it myself. I need to check all the data to see that it is reliable and that it is correct. I will be looking through it all to see that the data matches real life measurements. I will know that the data is incorrect if the average height is above 2.5metres or if the weight is over 70kg. I will do this because it is secondary data. Although there are positives to secondary data which are that you don’t have to go round getting all the data so it saves time. I will also look through the data to only find the data that I need for my investigation. I will also be looking for outliers to make sure that all my data is accurate. I will be using different graphs to compare the data.

Hypothesis

• I expect that there will be a positive correlation between weight and height.  I predict this because usually as the student gets taller their weight also usually gets bigger.
• I also predict that the older students will be taller and weigh more. I think this because usually the older you are the more likely you will be taller and weigh more.
• I also predict that the boys will be taller and weigh more than girls. I predict this because usually boys weigh more than girls on average.

Middle

For my third hypothesis (I also predict that the boys will be taller and weigh more than girls. I predict this because usually boys weigh more than girls on average) I will need to construct a histogram.  Histograms are good because they are good at comparing averages; they are also good for finding the standard deviation and the mean. It is also easy for finding the normal distribution. You use this formula to find standard deviation:

However I can just choose use autograph to calculate the standard deviation.

What I expect to find

Hypothesis 1- I expect to find a positive correlation between weight and height. I predict that as the students get taller their weight will increase.

Hypothesis 2- I expect to find that the weight and height of the older students will have higher averages than the younger ones. I also expect to find that the interquartile range will be bigger for the younger students.

Conclusion

The data that I got from Mayfield High School has been very reliable and has been easy to use. Although I have found in my data validation that their was quite a lot of outliers that I had to get rid off. I feel like my data validation stage went quite well as I got rid of all the outliers and it didn’t waste too much of my time. The data that I got from Mayfield High School was very detailed and had lots of information, to start with I got rid of all the data that I didn’t need. This also helped as my page with all my data was easier to read of.

I feel that the graphs I made were very good as I was able to easily compare and investigate. These graphs helped me come to a conclusion of my hypothesis and I created lots of different graphs to make sure that I covered everything that I was trying to investigate.

Overall I would say that this investigation was successful and that it went very well. However if I was to do it again maybe I would have collected more data from more schools. This would have helped me come to a conclusion that I could see is defiantly write. At the moment I have evidence that at this school most of my hypothesis are correct, but if I was to do a nationwide survey I am sure that I will find a result that is a bit more varied. Overall though I would say that this investigation is quite successful and I have come to some good conclusions.

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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