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Mayfield High. Hypothesis 1-the older the students, the taller and heavier they will be. Hypothesis 2-Girls in years 7, 8 and 9 are taller and heavier than the boys of those years but the boys in year 10 and 11 are heavier and taller than the girls.

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Introduction

Name: Rajit Shail                                                                                Maths coursework

My second coursework for my mathematics GCSE course is based on statistics. This coursework is about students at Mayfield High school. I will be doing a statistical study of students in each year group to prove my hypotheses. This school is a mixed secondary school with 1183 people, split into 604 boys and 579 girls. There are five-year groups, from 7 to 11, like most schools. The data contains many different records including forename, surname, age in years,  height in metres and weight in kilograms. I have chosen to investigate the relationship between height and weight, because it is quite probable that they influence each other. Here are my hypotheses, which are all related to both height and weight:

Hypothesis 1-the older the students, the taller and heavier they will be.

Hypothesis 2-Girls in years 7, 8 and 9 are taller and heavier than the boys of those years but the boys in year 10 and 11 are heavier and taller than the girls.  

Year groups:  

There are five year groups containing box and girls. Below are the number of pupils in each year group.

Year 7 total: 282

Year 8 total: 270

Year 9 total: 261

Year 10 total: 200

Year 11 total:170

Hypothesis 1 plan:

In order to prove or disprove my hypotheses I need an unbiased representation of the entire Mayfield High School.

...read more.

Middle

Then I will draw a graph to show the correlation between height and weight of all the students I have chosen to sample. Finally I will make a comparison table to show the differences between the height and weight for each year. To end I will make comments on the validity of the results I have obtained.

Hypothesis 2 plan:

Using the sample I collected from doing hypothesis one, I will separate the sample into male and female.  I shall use that information to prove my second hypothesis of girls in years 7, 8 and 9 are taller and heavier but boys in years 10 and 11 are taller and heavier.

Then like I did for my first hypothesis I will make tables showing frequency, mid point and total height/weight. I will this information to find the estimated mean height and weight. Also I can use it to find the modal group. There will be four tables for each year groups a there will be a two table of height and weight for the two genders.

Next I will draw cumulative frequncey graphs to find out and show the median and inter-quratile range of height and weight for both male and female in each  year group. I will also include box plots in the graphs.

...read more.

Conclusion

I did this with the rest of the years and picked pupils who were on every sixteenth row but only got the number of pupils I required. Year 8 = 27, year 9 = 26, year 10 = 20 and year 11 = 17. Once this was done I had all my samples and was ready to put them on tables.

...read more.

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