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  • Level: GCSE
  • Subject: Maths
  • Word count: 2238

For my coursework I am going to be investigating how students from key stages 3 and 4s weight affects their height and vice versa. I am going to be investigating this in Mayfield School

Extracts from this document...

Introduction

Introduction

For my coursework I am going to be investigating how student’s from key stages 3 and 4s’ weight affects their height and vice versa. I am going to be investigating this in Mayfield School. I am investigating a sample of 60 pupils in the school out of 1083 as the total population.

The data that has been provided each pupil includes:

  • Name
  • Gender
  • Left/right handed
  • Favourite Subject
  • Hours watching TV
  • Weight
  • Distance to School
  • Age
  • Hair Colour
  • Favourite colour
  • Favourite programme
  • IQ
  • No. Of Pets
  • Means of Transport
  • Year Group
  • Eye Colour
  • Favourite music
  • No. Of Siblings
  • Height
  • Key Stage 2 Results

Line of Enquiry

Since there is so much data, I will have to know what I want to find and investigate about the pupils. Therefore I have to come up with a Line of Enquiry to investigate for my project. The line of inquiry that I have chosen is the relationship between height and weight. I have chosen this because I feel that there is a relationship between weight and height and that it can be shown in a vast majority of ways. I am now going to give the list of inquiries.

1. The variations in hair colour, (qualitative data)

2. The variations in eye colour, (qualitative data)

3. The relationship between the above two colours, (qualitative data)

4. The distances travelled to school, (not easily interpreted onto graphs)

5. The relationship between height and weight,  

6. The relationship between two sets of Key Stage 2 results, (discrete data)

7.

...read more.

Middle

1.58

158

40

8

1.58

158

72

8

1.55

155

51

8

1.70

170

47

8

1.75

175

62

8

1.50

150

49

8

1.50

150

39

8

1.52

152

50


9

1.62

162

52

9

1.45

145

49

9

1.55

155

66

9

1.65

165

45

9

1.65

165

49

 9

1.52

152

50

9

1.72

172

62

9

1.74

174

61

9

1.48

148

40

9

1.50

150

70

9

1.67

167

54

9

1.52

152

52


10

1.76

176

52

10

1.78

178

52

10

1.62

162

52

10

1.60

160

50

10

1.57

157

45

10

1.57

157

54

10

1.80

180

72

10

1.74

174

56

10

1.72

172

71

10

1.66

166

63

10

1.55

155

50

10

1.60

160

51


11

1.56

156

50

11

1.75

175

60

11

1.68

168

48

11

1.55

155

50

11

1.65

165

52

11

1.53

153

42

11

1.7

170

72

11

1.76

176

62

11

1.92

192

45

11

1.79

179

72

11

1.81

181

72

11

1.91

191

82


image00.png

Boy’s height

This data show the frequency of boy’s heights clearly in a frequency table along with the cumulative frequency. From this data, you can see that the most common height intervals are 150 < H < 160cm which contains 10 boy’s. The least common height intervals is 130 < H < 140 which contains no boys.

image01.png

Boy’s Weight

This data shows the frequency table for boys’ weight along with the cumulative frequency. From data, you can see that the most common weight interval is 50 < W < 60 which contains 9 boys. The least common weight interval is 80 < W < 90 which contains one boy.

image12.png

Girl’s Height

This data shows me the frequency table for the Girls’ height along with the cumulative frequency. Looking at this data, you can see that the most common height intervals is 150 < H < 160cm which contains 14 girls. The least common weight interval is 130 < H < 140 which contains 1 girl.

image23.png

Girl’s Weight

This data show the frequency for girl’s weight along with the cumulative frequency.

...read more.

Conclusion

< h < 56 and the least common frequency interval is73 < h < 75. From this data you are able to see that there is a steady increase from 45kg’s and then after that there is a rapid decrease from 55 to 65kg’s and then it very slowly decreases.

image10.png

This box plot shows that there is a wider range of weight with the boy’s than with the girl’s which means that the minimum is lower and the maximum is higher, and also that the median is higher for the boy’s this suggest that boy’s overall weigh more than girl’s. It is also noticeable that each quartile for the boy’s weight is bigger than the girl’s weight.

image11.png

image13.png

The box plot shows that there is a wider range of height with the boy’s than with the girl’s which means the minimum is lower and the maximum is higher, and also that the median is higher for the boy’s this suggest that overall boy’s are taller than girl’s

image14.png

image15.png

Scatter Graph:

This Scatter graph as well as the one underneath proves that my hypothesis is right because its shows the Taller you are the more you weigh on average. It is also noticeable that both graphs have a positive correlation.

image16.png

____________________________________________________________________

Boys and Girls Weights

image17.png

image18.png

image19.png

image20.png

image21.png

image22.png

image24.png

image25.png

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...read more.

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