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• Level: GCSE
• Subject: Maths
• Word count: 1502

# The data I am going to be investigating the relationship between the height and weight of pupils in year 10 at Desborough School the data was collected from two maths classes.

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Introduction

Math GCSE handling Data Coursework

Introduction

My GCSE coursework is about handling data. The data I am going to be investigating the relationship between the height and weight of pupils in year 10 at Desborough School the data was collected from two maths classes. The data that was taken was the height of pupils and weight. The data used was both primary and secondary because we only measured data from our own class (primary data) and we where given the secondary data from another maths class. The raw data was combined and I had to find the relationship between the height and weight of year 10 pupils.

The first point would be to consider the sample size for this data. When the weight and height of pupils was measured, some pupils were absent that day and their record of information might have and affect the relationship between the weight and height. I have decided that the number of people, who were at school that day, would be my sample size, which is 51.

Height and Weight for Set 5Height and Weight for Set 4

 Weight (Kg) Height (Cm) Weight (Kg) Height (Cm) 61 172 54 173 72 180 58 178 59 173 60 179 80 182 61 176 71 178 54 168 69 170 50 164 48 160 52 177 50 167 111 179 55 175 56 168 53 160 75 170 75 164 70 167 60 174 61 177 70 183 87 180 71 165 66 178 70 163 58 178 40 160 69 164 75 185 55 171 50 168 54 173 75 186 45 159 50 162 48 160 46 160 56 160 75 174 45 174 72 162 67 174 81 177 44 170 63 181 53 176 42 156

Middle

||||  ||||  ||||  |||

18

170 = h <180

||||  ||||  ||||  ||||  ||||

24

180 = h <190

||||  ||

7

Weight of pupils in sets for and 5

 Weight, w (Kg) Tally Frequency 40 = w <50 ||||  ||| 8 50 = w <60 ||||  ||||  ||||  || 17 60 = w <70 ||||  |||| 10 70 = w <80 ||||  ||||  || 12 80 = w <90 ||| 3 90 = w <100 0 100 = w <110 | 1

## Hypothesis

From my sample, I am now able to look at the data in more detail. I will extend the line of enquiry and give myself a hypothesis to test. A hypothesis is a statement that could be true or false. I will test my hypothesis be looking at data and graphs.

I will extend my investigation by looking at the difference in height and weight between the pupils in year 10. I will test to see if the following hypothesis is true:

In general the taller the person, the heavier the person gets.

## Tables for mode, mean, median and range

F means the frequency, mid point is the middle point between the height value, Fx is the frequency multiply mid point and CF is the cumulative frequency.

### Height

x

#### CF

155< x <160

2

157.5

315

2

160< x <165

12

162.5

1950

14

165< x <170

6

167.5

1005

20

170< x <175

12

172.5

2070

32

175< x <180

12

177.5

2130

44

180< x <185

5

182.5

912.5

49

185< x <190

2

187.5

375

51

Total:

51

1207.5

8757.5

51

##### Modal = 160< x <165, (

Conclusion

So, I could say to find out a boy who has a weight of 64kg I could use the equation to give a rough estimate of his height in Cm.

Y= 0.333 * 64 + 160                would equal to 181cm as an estimate. By looking at my line of best fit I can say that my answer was only 7cm away from its best fit.

I can work out an estimate of the weight of a pupil in year 10 by rearranging the formula.

X = y –160

0.33

## Conclusion

My investigation was to find out the relationship between the height and weight of the pupils in Desborough School. All the pupils were male so there were no gender factors. My hypothesis was that the taller the person gets, the heavier they would become. The hypothesis was correct by observing the scatter diagram it was not an accurate result but it was a positive correlation for the line of best fit. From the line of best fit, I then decided to find the equation for this line.

Using the formula = mx + c, I was able to find out the equation. First I had to find the gradient. This was shown in the process in my coursework. The final equation was figured out which was Y= 0.333x + 160

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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