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Is a relationship between the height and weight of a selected sample of Year 7 students

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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 a selected sample of Year 7 students, 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 sister in Year 7 who is fat, short, heavy and watches too much T.V and I am intrigued by this to see if all students are like that or whether they are heavier or lighter if they are shorter, or watch too much T.V. Because of my interest in this area of maths, I will measure the height and weight of Year 7 students and see whether they have anything in common in between them. 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.Q, but due to the shortage of time and the way the school timetables are set out, I figured that I would not have the time needed in order to complete this task in the appropriate way.

Some

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Middle

Older students are heavier than younger students.Students who watch more T.V is heavier then students who watch less.Heavier students have a higher I.Q than lighter students.Students who walk to school are lighter than students who use other forms of transport.Left handed students are taller than right handed students.

The hypotheses I have chosen to support are:

  • Tall students are heavier than short students.
  • Older students are heavier than younger students.
  • Girls are lighter than boys.
  • Left handed students are lighter then right handed students.
  • Students who watch more T.V are heavier than students who watch less.
  • Heavy students have a higher I.Q than light students.

The reasons why I have not chosen to support the last two are because firstly, I will not have enough time to support all of them and secondly, it will be very difficult for me to find information out primarily about things like I.Q. Even if I did find data like that out it may have been out- of –date and therefore deceiving.

To prove my first hypothesis I will use a sample. There are approximately 1500 students in Smithills. A 10% sample would be 150 students which is simply too large for me and will consume a lot of time.

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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.    

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