The Relationship in Height and Weight of Students

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The Relationship in Height and Weight of Students

INTRODUCTION

In this investigation, I intend to find out whether there is a

relationship in height and weight in students, and how this

relationship changes between girls and boys, with age. I have chosen

to investigate the relationship between the height and the weight as I

think that the height and the weight are the only two categories that

will give a clear correlation. If I was to investigate the

relationship of two other categories, like the eye colour and the IQ,

I believe that however interesting and amusing the results would be,

they would not provide too clear a relationship, or any conclusive

information.

The data provided gives information about 1183 girls and boys at

Mayfield High School, who have been categorized into their year

groups. These year groups begin with the students entering their

teens, and end in their mid-teenage years.

In order to be able to compare girls and boys in each year, I will

represent the distribution of heights and weights for both sexes in

each year in various forms. I plan to use stem and leaf plots, scatter

graphs and box plots, and a wide range of calculated data, like the

mean of the heights and weights, their interquartile range and their

Body Mass Index.

The data that will be represented will not be all the data provided,

as if I were to do this, then I would be plotting 2366 datum points

which would be ideal, however time does not allow for this number of

points. So, instead I will take a stratified sample of the total data

and use this sample in the investigation.

From these representations of the data, conclusions will be drawn as

to how the relationship between height and weight changes with age and

sex, but before this is done, any anomalous data points will be

considered, so that they do not affect the overall conclusions.

Hypothesis

The following hypotheses have been made, to predict the outcome of

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