elationship exists or can be established between the height and weight of students

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Tanveer Virdee 11G3                October 2004

GCSE Mathematics Coursework

Aim

The aim of this investigation is to distinguish if a relationship exists or can be established between the height and weight of students ageing from 12 yrs to 16 yrs in year groups 7 to 11 in a mixed in a boys and girls school.  To execute this investigation I have to acquire information from Mayfield School survey, this will provide me with the relevant data which will be interrogated and analysed to investigate the hypothesis.

Prediction

The hypothesis for this investigation, in relation to the aim, is that the taller the person the heavier their body weight for both boys and girls.  But that this proportion is different between girls and boys.  The ratio of weight to height is lower for girls than for boys.  This overall prediction may show anomalies which may contradict the hypothesis.

Method

The method used in this investigation will consist of the following processes.;

  1. Firstly I will gather the relevant information from the Mayfield survey and put the data into order for every year group by gender.  The summary results are shown in the Table 1

Table 1 – gender by year group

  1. I will be using a random selection of 150 pupils from the Mayfield survey; I chose this number because it represents the average class size for a typical school for 5 year groups.
  2. Using the data from the question sheets a sample will be processed.
  3. Once I have the results from working out the stratified data I will randomly pick a sample of males and females from each year group.
  4. I will then divide that data in to the different year groups and sub total these and make sure the data is regularised
  5. The data will be used to calculate the regression properties for each sample as well as calculating the standard deviation for both male and female I will plot a scatter graph for each year group and also plot a regression line.
  6. Then I will collect all the data from each year group and present it by year group in ascending order.
  7. After doing this I will construct a scatter graph of height against weight and plot the perfect regression line to show a trend and to work out the correlation of the data.

The tables below show the data used in testing the hypothesis and the method it was stored to enable easier control.  The data is that which was randomly selected.  I picked the students randomly by using a calculator pushing “inverse ran” (Inverse random) then multiplying it by the number of boys or girls in the same year.

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Results

Random selection for Year 7


Random selection for Year 8


Random selection for Year 9


Random selection for Year 10


Random selection for Year 11

For each of the stratified data tables recorded I have plotted a scatter graph of each individual year and on the scatter graphs I have also plotted the perfect regression line for each year group.

To find the perfect regression line I have used this formula:

Y = a + b x. This is the formula used to ...

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