HYPOTHESIS: Boys at Mayfield School are Taller and Weigh more average in comparison to females

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Mayfield School Mathematics Handling Data Coursework

Introduction

I have been assigned to complete a statistical investigation around the fictitious data of Mayfield High School. I will be using various techniques that I have recently studied and learnt and captured to produce a successful & efficient coursework. Alternating Statistical Methods will be used throughout this assignment to prove if my hypothesis is either correct or incorrect.

HYPOTHESIS: Boys at Mayfield School are Taller and Weigh more average in comparison to females

Planning

I will need the data of Mayfield High School between the Years of 7 to 11 and this is due to the fact for a wider sampling range and sufficient and unbiased results and uses many sampling methods to make my assignment unique and unbiased. The total number of students in the school is 1183.  Here is a Table that I have produced which contains the number of boys and girls in each year.

Two Way Tables

The Table Below is a two way table due to the fact there are two variables shown at the same time and helps view results and data conclusively.

The variables for the sample are gender and age so I had to do separate samples for boys and girls and vary the amount of samples taken from each year to keep the sample unbiased and insufficient. This was done as the different year groups had different numbers of pupils and it would be unfair to take the same number of samples from each year group i.e. 5 samples out of 55 is be more than 5 samples out of 200 so stratified sampling will be helpful this is due to the fact the

number of student in each year and so there is less chance of unequal representation.  I will be investigating 20 boys and Girls and Boys from each Year altogether.

STRATIFIED SAMPLING CALCULATIONS

I want 60 Students from the from the school total 1183.

I want 30 Boys from 604 Boys and my aim is to work out how many from each year and below is my calculation

Year 7 Boys = 151 Divided By 604 multiplied by 30 = 7.5 rounded of to 8

Year 8 Boys = 145 Divided by 604 multiplied by 30 = 7.2 rounded of to 7

Year 9 Boys = 118 Divided By 604 multiplied by 30 = 5.8 is rounded of to 6

Year 10 Boys = 106 Divided By 604 multiplied by 30 = 5.2 is rounded of to 5

Year 11 Boys = 84 Divided By 604 multiplied by 30 = 4.1 rounded of to 4

Note * I then applied the same methods in calculating the number of Girls for my stratified sampling and here is a table of results that I will be using for my data sampling.

Within this process the decision of choosing which students in particular to choose from within each year was done via Random Sampling.

Below is the Data I have gained from my Sample. Since I have investigated the Height and Weight I will only show these particular fields in my results:

  1. Male Stratified Sample Results

  1. Female Stratified Sample Results
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TALLY AND FREQUENCY CHART

Now that I have my data I will put them into frequency/tally tables to make it easier to read and it is a useful way of representing and helps view trends within my sampling that I have produced:

Boys Heights

A Pattern I have spotted in this particular Frequency/Tally table is that nearly 75 percent of boys are of the height between 150 to 170 from my sample ...

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