# Statistical coursework that uses data from 'Mayfield High School.'

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Introduction

Hayley Lloyd-Henry 11R Maths Statistics Coursework

MAYFIELD HIGH SCHOOL

Introduction

I have chosen to do this statistical coursework that uses data from ‘Mayfield High School.’ Although this is a fictitious school, the data is based on a real school. As the data has been collected for me, it is called secondary data.

I believe that this coursework will allow me to illustrate my ability to handle data, use specific techniques and apply higher level statistical maths by being able to use a variety of methods in order to analyse and compare sets of data. During this project I will be examining the relationships between the attributes of the pupils of Mayfield High School. My aim is took produce a line of enquiry which has two or more statistics regarding the pupils which are related to each other.

This table shows how many boys and girls there are in each year group at Mayfield High.

Year Group | Number of Boys | Number of Girls | Total |

7 | 150 | 150 | 300 |

8 | 145 | 125 | 270 |

9 | 120 | 140 | 260 |

10 | 100 | 100 | 200 |

11 | 84 | 86 | 170 |

The total Number of students at the school is 1200

Data is provided for each pupil in the following categories:

- Name
- Age
- Year Group
- IQ
- Weight
- Height
- Hair colour
- Eye colour
- Shoe size
- Distance from home to school
- Usual method if travel to school
- Number of Brothers or sisters
- Key stage 2 & 3 results in English, Mathematics and Science

Middle

Calculations:

- Mean
- Mode
- Median
- Mean & Modal Class for Grouped Continuous Data – This calculates the mean for grouped continuous data.
- Interquartile Range - The distance between the upper and lower quartiles. As a measure of variability, it is less sensitive than the standard deviation or range to the possible presence of outliers. It is also used to define the box in a box-and-whisker plot.
- Standard Deviation - It is the most commonly used measure of spread.
- Normal distribution - Normal distributions are a family of distributions that have the same general shape. They are symmetric with scores more concentrated in the middle than in the tails. Normal distributions are sometimes described as bell shaped.
- Spearman’s Rank Correlation Coefficient - The Spearman's Rank Correlation Coefficient is used to discover the strength of a link between two sets of data.
- Equation of Line of Best fit – Equation of line that shows underlying spread.

Collecting the Data

In order to find my results, I will need to sort the data and put it into tables. As I am using stratified sampling, I have had to count up the amount of boys and girls in each year and work out my sample size.

Conclusion

16

9

1.75

63

17

9

1.46

45

18

9

1.5

70

19

9

1.82

66

20

10

1.8

49

21

10

1.6

50

22

10

1.62

52

23

10

1.65

50

24

10

1.77

59

25

11

1.91

82

26

11

1.62

56

27

11

1.74

50

28

11

2

86

Results

Girls | |||

Year | Height (cm) | Weight (kg) | |

1 | 7 | 1.61 | 45 |

2 | 7 | 1.61 | 47 |

3 | 7 | 1.56 | 43 |

4 | 7 | 1.48 | 42 |

5 | 7 | 1.5 | 40 |

6 | 7 | 1.56 | 53 |

7 | 7 | 1.58 | 48 |

8 | 8 | 1.72 | 43 |

9 | 8 | 1.62 | 53 |

10 | 8 | 1.62 | 54 |

11 | 8 | 1.6 | 46 |

12 | 8 | 1.75 | 45 |

13 | 8 | 1.48 | 46 |

14 | 9 | 1.57 | 38 |

15 | 9 | 1.62 | 54 |

16 | 9 | 1.64 | 40 |

17 | 9 | 1.6 | 46 |

18 | 9 | 1.8 | 60 |

19 | 9 | 1.6 | 51 |

20 | 10 | 1.52 | 45 |

21 | 10 | 1.72 | 56 |

22 | 10 | 1.66 | 45 |

23 | 10 | 1.73 | 42 |

24 | 11 | 1.7 | 50 |

25 | 11 | 1.68 | 48 |

26 | 11 | 1.52 | 38 |

27 | 11 | 1.62 | 48 |

Organising My Results

Although I have already presented my results into 2 separate tables, one for each gender, the results are not concise enough. In order to fully analyse my results, I will need to put my results into scatter diagrams and histograms etc. Therefore, my results need to be grouped into around 5-8 groups, which are the same for both genders. This is because when I put my results into the scatter diagrams (etc), I will need to compare both genders, thus requiring me to use the same groups for both sexes. Once I have chosen my groups, I will enter the information into the frequency tables and use those for me histograms and scatter diagrams.

This student written piece of work is one of many that can be found in our AS and A Level Probability & Statistics section.

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