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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.

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 1.5 150 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 1.6 160 50 10 1.57 157 45 10 1.57 157 54 10 1.8 180 72 10 1.74 174 56 10 1.72 172 71 10 1.66 166 63 10 1.55 155 50 10 1.6 160 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

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.

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.

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.

Girl’s Weight

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

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.

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.

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

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.

____________________________________________________________________

Boys and Girls Weights

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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