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Introduction

Planning of Mayfield High school

GCSE maths coursework

Aim

The aim of my coursework is to examine the relationships between the heights and weights of students from the years of 7 to 11 of Mayfield High school.

Decisions

I am going to investigate the ways on how height and weight of students from Mayfield high school vary, how they are related to one an other and find averages among the students to see if males weigh more than females when they increase in height or if females weigh more than males when they increase in height. I will also be investigating to see if males are taller than females

I am expecting that the taller the students will be the heavier they will become in contrast to shorter students, which I believe will weigh less, unless proved otherwise. I also believe that males will be taller than females. I am investigating these topics because in my opinion it is a common idea that this is true, and I am interested in proving or disproving them.

Design

The Population: 1183 students in Mayfield High The sample size: 80 Pupils (to keep the data to a convenient amount)

To test my hypothesis I need to sample a certain number of school students. I will need to know the students genders, their year group, age and the Height and weights of the students that I need to sample.

Middle

6 yr 10 girls will be taken

Yr 11 boys = 84                        (84/1183) x 80 = 6

6 yr 11 boys will be taken

Yr 11 girls = 86                        (86/1183) x 80 = 6

6 yr 11 girls will be taken

(These are rounded to the nearest whole)

From now I will work on these samples because from my pre test I learnt that the smaller the sample the less accurate the result. Therefore all my analysis will be based on this stratified sample, which I will pick the amount of 80, thenplotted all my samples in one graph and explain if the graph has a positive or negative correlation.

To check that the sample size is correct I must add the totals:

10 + 9 + 10 + 8 + 8 + 10 + 7 + 6 + 6 + 6 = 80

This shows me the amount of males and females I have to pick from each year. Doing that for all the males and females of all years it will then eventually add up to my chosen stratified random amount which is 80.

I then will pick my samples and use the samples for my investigation that I will carry out and create diagrams to analyse my data.

This my overall plan and intend to use my plan within my analysis of my work.

Analysing data

GCSE maths coursework

Interpreting Data

Before I continue my analysis I have decided to work out the outliers for the stratified sample of the whole school using the inter quartile range for a much more accurate and reliable result. Another method of replacing outliers can be from using interpolation. Conclusion

The modifications I could have made to the original plan or made further developments from my original aim all consisted of what my hypothesis could have included. I could have produced information to see who were more intelligent males and females, and more expansion on the wider areas of the coursework.

The problems I had with the practicals of my work all are based on making the graphs such as the scatter and box plots. I had problems in inserting the data from another source and interpreting the data to graphs.

Eventually I overcame the problems figuring out what I had to do.

Overall this coursework has inspired me that there is more to explaining and showing the difference between height and weights between students, which are relevant for future references.

Appendix

My appendix will consist of raw data such as my calculations and my stratified samples.

 Year Boys Girls Number of pupils in the sample of 60 Boys Girls 7 151 131 (151/ 1183) x 80 = 10 (131/ 1183) x 80 = 9 8 145 125 (145/ 1183) x 80 = 10 (125/ 1183) x 80 = 8 9 118 143 (118/ 1183) x 80 = 8 (143/ 1183) x 80 = 10 10 106 94 (106/ 1183) x 80 = 7 (94/ 1183) x 80 = 6 11 84 86 (84/ 1183) x 80 = 6 (86/ 1183) x 80 = 6

The table shows my calculations. The calculations are all for my stratified samples using proportions to calculate the amount of samples I picked.

This can be described as raw data as the calculations is data which I needed to pick my samples and it is raw because the calculations were rounded to the nearest ten and used the numbers to pick my samples. 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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