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Maths Courswork - Mayfield High School

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Introduction

Maths Statistics Coursework

Introduction

In this piece of coursework, I am going to investigate if there is a relationship between height and weight between Year 7 and Year 11 students.

I am going to be using secondary data from the fictional Mayfield High School. I will be using a number sample then will be adding the total for girls and boys, and then find 20%.

The sample will only be a percentage of the pupils to keep the data to a manageable extent. I will calculate different averages of the data, including mode, median and range of the different sets of data for both year groups, to calculate the average student. I will then put these into graphs, including scatter diagrams and box plots.

Hypotheses

I had to choose what hypotheses I would be testing. Some possibilities included:

  • Variation in Eye or Hair Colour
  • Distance from School and Method of Travel
  • Height and Weight

The hypotheses I will be testing are -:

  • As height increases, so does weight
  • There is a link between the height and weight of Year 11 and Year 7 Boys and Girls
  • Are there any other relationships between the height and weight between Year 7 and Year 11 students
...read more.

Middle

h image01.png170

|

1

image02.png

Year 11 Girls

Height / h (cm)

Tally

Frequency

130 image00.pngh image01.png140

| | |

3

140 image00.pngh image01.png150

| |

2

150 image00.pngh image01.png160

| | | || | | || | | || | | || | | || | | || | | || | | |

| | |

43

160 image00.pngh image01.png170

| | |

3

170 image00.pngh image01.png180

| | | |  | |

7

180 image00.pngh image01.png190

0

image03.png

Year 11 Boys

Height / h (cm)

...read more.

Conclusion

Year 7 Boys

image06.png

The graph is evident that as the height increases, so does the weight of a person, which accords to my original hypothesis. There is one anomaly, however, where a student of 1.64 in height weighs 140.

Year 11 Girls

image07.png

The graph is evident that as the height increases, so does the weight of a person, which accords to my original hypothesis. It is evident that there are little (if any) anomalies.

Year 11 Boys

image08.png

The graph is evident that as the height increases, so does the weight of a person, which accords to my original hypothesis. It is evident that there are little (if any) anomalies.

I will now compare the mode, median, mean and range of the height and weight.

Height

Gender/Age Group

Mode

Median

Mean

Range

Girls Y7

1.52

1.52

1.51

0.61

Boys Y7

1.59

1.54

1.54

0.37

Girls Y11

1.62

1.65

1.64

0.91

Boys Y11

1.62

1.62

1.63

0.60

Weight

Gender/Age Group

Mode

Median

Mean

Range

Girls Y7

47

44

45

32

Boys Y7

42

45

42

27

Girls Y11

54

52

54

50

Boys Y11

57

49

47

21

...read more.

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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