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• Level: GCSE
• Subject: Maths
• Word count: 2679

# I am investigating the difference in growth rates between boys and girls across Year 7 to 11 in Mayfield High School. I have obtained the data from an electronic database and is therefore secondary data.

Extracts from this document...

Introduction

Zilia D’Mello        Page         Statistics Coursework

Introduction

I am investigating the difference in growth rates between boys and girls across Year 7 to 11 in Mayfield High School. I have obtained the data from an electronic database and is therefore secondary data. I took a representative sample of 250 pupils from the database to carry out the investigation.

I am going to investigate the following hypotheses:

• The height of the females will increase from Year 7 to 11.
• The height of the males will increase from Year 7 to 11.
• The weight of the females will increase from Year 7 to 11.
• The weight of the males will increase from Year 7 to 11.
• Females tend grow earlier then males.
• The distribution of each male and female height in each year group is symmetrical and normal.
• The distribution of each male and female weight in each year group is symmetrical and normal.

In order to carry out the investigation I will need to collect the following information: Year Group, Surname, Forename, Gender, Height and Weight. I can find this information from the database provided. I know that this information is reliable because it is based on a real school. The sample of pupils that I will take will be obtained through use of stratified and random sampling to ensure a true representative population.

Sampling

I reduced the population down to 250 pupils firstly by using stratified sampling. This ensure that the numbers of pupils of each gender and year group were in ratio to the actual population.

Middle

Weight

Females

Yr 7:

• 57kg – I have decided to accept this outlier as she has a B.M.I. of 22.

Yr 8:

• There were no outliers.

Yr 9:

• There were no outliers.

Yr 10:

• There were no outliers.

Yr 11:

• There were no outliers.

Males

Yr 7:

• 32kg – I have decided to reject this outlier as he has a B.M.I. of 13.
• 33kg – I have decided to accept this outlier as he has a B.M.I. of 16.
• 53kg – I have decided to accept this outlier as he has a B.M.I. of 22.
• 54kg – I have decided to accept this outlier as he has a B.M.I. of 23.
• 56kg – I have decided to accept this outlier as he has a B.M.I. of 25.
• 59kg – I have decided to accept this outlier as he has a B.M.I. of 26.
• 75kg – I have decided to accept this outlier as he has a B.M.I. of 25.

Yr 8:

• 5kg – I have decided to reject this outlier as he has a B.M.I. of 2.
• 57kg – I have decided to accept this outlier as he has a B.M.I. of 19.
• 59kg – I have decided to accept this outlier as he has a B.M.I. of 20.
• 60kg – I have decided to accept this outlier as he has a B.M.I. of 23.
• 74kg – I have decided to reject this outlier as he has a B.M.I. of 29.
• 80kg – I have decided to accept this outlier as he has a B.

Conclusion

Conclusion

From looking at my overall investigation, I can draw a number of conclusions.

Firstly, it is possible to see that male height and weight increases from Years 7 to 11 thus proving the hypotheses. This is also evident when looking at the Body Mass Index.

When looking at the girls, it is much harder to see such obvious patterns. Therefore I found it hard to prove the hypotheses that female weight and height increased over time. Both height and weight seemed to decrease in some places or stay constant. This could be due to dieting or a healthier eating regime. When looking at the Body Mass Index, I found a decrease which suggests that females are not gaining in weight or height and if they are they only gain in one or the other, therefore keeping the ratio low.

All of the histograms followed a ‘nearly’ normal distribution curve suggesting that the school population was evenly distributed in terms of height and weight. Although not symmetrical, this pattern was clear.

Finally, by looking at the means and standard deviation I was able to come to the conclusion that girls tend to grow earlier than boys, as stated in the hypotheses. I found this as girls tend to reach a set height or weight before either decreasing or remaining constant whereas the boys continued to grow. This suggests that girls finish growing earlier then boys.

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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