# To prove my first hypothesis, (i.e. tall students are heavier than short students) I will use a sample

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Introduction

Mohammed Patel, 10G1

GCSE STATISTICS COURSEWORK

## PLAN

The aim of this coursework is to find if there is a relationship between the height and weight of students in year 11 of different genders, and to see if taller, or older, or students who watch too much T.V are generally heavier or lighter. I am doing this investigation because I have a brother in Year 10 who is fat, short, heavy and watches too much T.V and I am intrigued by this to see if all female students in year 11 are like that or whether they are heavier or lighter if they are shorter, or watch too much T.V. I will gather the required information from the Mayfield high school data book provided by the teacher. I could go on the internet and collect the data but it might not have been updated for some time so it might be out of date. I couldn’t have gone to the school office because they don’t have information of height and weight. I could do a survey, but the problem with this is that it is very time consuming and it is disruptive in the school If I wasn’t doing this investigation, I would probably have been doing something else for example to see if students who watch too much T.V have a higher I.

Middle

To prove my first hypothesis, (i.e. tall students are heavier than short students) I will use a sample. I have1500 pieces of data to work with, A 10% sample would be 150 students which is simply too large for me and will consume a lot of time. A 5% sample is about 75 students which is also too large a sample for me. A sample of about 60 will be right so that is what I will use. For the first hypothesis, I couldn’t use a convenience because of the time allotted for me to do this, but if I did do this but the problem with that will be that I would not know the difference between Year 7, Year 8 and Year 9 students as they wear the same colour of jumper. (It will be very difficult for me to collect the data.) I could use a systematic sample but the problem with that could be, for example take a sample of every fifth student, that I came across in the data book, it can be biased if low or high values occur in a regular pattern.

Conclusion

For my third hypothesis (i.e. girls are lighter than boys) I will take another stratified sample from each year group of girls and boys and go down the Mayfield data book and again pick out for example, the first 7 girls I come across. This way my data is unlikely to be biased. After doing this I will manipulate the data to create a two-way table, categorising the weights of the girls and boys, into class widths. After this I will find out the frequency- density of the data and create a histogram for both my male and female pieces of data. From this I will draw a distribution curve and see which way more of the data lies. Also from my frequency- density table, I will also work out the cumulative frequency and draw a cumulative frequency graph for that. From the cumulative frequency graph I will find out the upper- quartile, the lower quartile and the interquartile range. Also from the cumulative frequency graph I will draw a box and whisker diagram and compare the weights of boys and girls.

This student written piece of work is one of many that can be found in our AS and A Level Probability & Statistics section.

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