# Maths coursework on Mayfield high school

Extracts from this document...

Introduction

Maths coursework on Mayfield high school

## Introduction

Mayfield high school is a fictitious school with 1200 pupils. The age range goes from year 7 to year 11. It is a mixed school. My task is to analyse the data I have been given from Mayfield high school, and look at some of the key factors and relations between the pupils. The data given for each pupil is, year, birthday, eye and hair colour, gender, IQ, height, weight distance from home to school, and the method of travel to school.

## Planning

The factors I have chosen to investigate are the relation of height and weight to age and gender. To do this I will select a random sample of 30 girls and 30 boys from both year 10 and 11. I will make a prediction. I will then draw cumulative frequency tables and graphs

Middle

121

1.52

41

248

1.54

29

225

1.43

54

254

1.73

42

235

1.52

45

272

1.62

49

243

1.55

65

I have created the cumulative frequency chart and graph for the height of yr 7 girls from the chart below.

Data | Frequency | C freq |

1.2>1.4 | 2 | 2 |

1.4>1.45 | 5 | 7 |

1.45>1.5 | 7 | 14 |

1.5>1.55 | 3 | 17 |

1.55>1.6 | 6 | 23 |

1.6>1.65 | 5 | 28 |

1.65>1.75 | 2 | 30 |

From this I was able to construct a cumulative frequency graph to help me to look at the range of different heights over this particular year group.

Now to look at the chart for the boys from yr 7 we will use both graphs to compare the boys and girls heights and come to a conclusion of who’s taller. And how we can interpret this.

Data | Frequency | C freq |

1.3>1.4 | 2 | 2 |

1.4>1.45 | 3 | 5 |

1.45>1.5 | 4 | 9 |

1.5>1.55 | 9 | 18 |

1.55>1.6 | 5 | 23 |

1.6>1.65 | 5 | 28 |

1.65>1.7 | 2 | 30 |

This shows that on average the boys in yr 7 are fractionally taller than the girls. The most common heights in boys was 1.5 > 1.55 and in the girls it was 1.45 > 1.5. We can see from the graph below that the heights are very similar between the boys and girls in Yr 7.

Pupil height graph evaluation

This is probably because the pupils are of a young age and have a similar growth rate I think in year 11 the boys will be considerably taller than the girls as by that time they will almost be fully developed adults and men are usually taller than women. I will now look at the weights of the pupils in year 7 but I will add them to a cumulative frequency graph instead of doing two separate graphs then one comparison.

Prediction

I predict that the boys and girls will have a similar weight in yr 7 as they are still young and grow at the same rate as each other.

Girls | Girls c freq | Boys | Boys c freq | |

25>30 | 1 | 1 | 0 | 0 |

30>35 | 0 | 1 | 2 | 2 |

35>40 | 6 | 7 | 2 | 4 |

40>45 | 8 | 15 | 8 | 12 |

45>50 | 10 | 25 | 5 | 17 |

50>60 | 5 | 30 | 9 | 26 |

60>65 | 0 | 30 | 4 | 30 |

Conclusion

1.61

54

1.64

57

1.62

56

1.65

66

1.62

54

1.65

68

1.62

51

1.67

60

1.62

48

1.67

59

1.62

54

1.67

55

1.63

44

1.67

58

1.63

47

1.68

63

1.63

45

1.68

68

1.63

54

1.69

63

1.63

60

1.7

54

1.65

66

1.73

58

1.65

42

1.77

52

1.65

52

1.78

48

1.65

45

1.78

66

1.68

47

1.78

55

1.69

51

1.8

66

1.7

45

1.81

47

1.7

52

1.81

63

1.72

51

1.84

74

1.72

60

1.84

62

1.73

64

1.85

58

1.74

39

1.96

70

The cumulative frequency graphs for height and weight below are for comparison firstly against boys and girls then to look at the differences between the two year groups.

## Data table for yr 11 heights

Data | Female height | Male height | |

1.3>1.4 | 0 | 0 | |

1.4>1.45 | 0 | 0 | |

1.45>1.5 | 0 | 0 | |

1.5>1.55 | 3 | 3 | |

1.55>1.6 | 5 | 2 | |

1.6>1.65 | 11 | 4 | |

1.65>1.7 | 6 | 9 | |

1.7>1.75 | 4 | 2 | |

1.75>1.8 | 0 | 4 | |

1.8>1.85 | 0 | 5 | |

1.85>1.9 | 0 | 1 |

Data table for yr 11 weights

Data | Female weight | Male weight | |

25>30 | 0 | 0 | |

30>35 | 0 | 0 | |

35>40 | 3 | 0 | |

40>45 | 2 | 0 | |

45>50 | 9 | 4 | |

50>55 | 10 | 3 | |

55>60 | 1 | 9 | |

60>65 | 4 | 5 | |

65>70 | 1 | 7 | |

70>75 | 0 | 2 |

## Graph of yr 11 heights

graph representing weights of yr 11 pupils

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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