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• Level: GCSE
• Subject: Maths
• Word count: 3235

# Data handling

Extracts from this document...

Introduction

Coursework: Data Handling

Aim:

To see if there is any relationship between height and handspan of pupils in Year 10.

Introduction

I am going to do an investigation into the relationship between the height and handspan of Year 10 pupils. I will collect do this by collecting primary data’s of the height and handspan of 30 boys and 30 girls of which I will randomly choose 10 data from each gender for a pre-test. I will draw various graphs from scatter graph to cumulative frequency to show my data.

To measure their heights, I will be using metre rule. I will place the metre rule flat against the wall and then have the pupils stand next to them. To make sure that the heights of the pupils measured aren’t biased, I will make sure that the pupils aren’t wearing any form of footwear as footwear gives then an height increase, and also make sure that they are standing upright with both feet flat on the floor.

I will measure their handspan using a 30cm ruler. I will have the pupil pull apart their thump and the index finger to the furthest distance possible for them. I will then measure the distance between the thump and the index finger with the 30cm ruler.

Hypothesis:

1. I hypothesis that there will be a positive correlation between height and handspan.
1. I hypothesis that boys will be the taller than girls.
1. I hypothesis that boys will have a bigger handspan than girls.

Pre – Test

Middle

24

7

Female

156

19

12

Female

159

20

13

Female

157

19

24

Female

171

20

29

Female

170

19

Height and Handspan of 10 boys chosen for Pre- test

 No of Pupil Height(cm) Handspan(cm) 3 169 22 8 178 24 9 181 23 11 171 20 15 166 21 20 174 23 21 175 23 23 180 24 27 173 22 29 172 24

Height and Handspan of 10 girls chosen for Pre- test

 No of Pupil Height(cm) Handspan(cm) 1 166 19 4 161 18 7 156 19 12 159 20 13 157 19 17 163 20 20 168 20 24 171 20 26 164 21 29 170 19

Result of Pre- test:

From my pre – test, I have found out that there is a positive correlation between the height and handspan of pupils in Y ear 10. This proves that my first hypothesis is correct. I have also noticed that the average of the boy’s height is bigger than the average of the girls’ height which also proves that my second hypothesis is correct. I have also found out that my third hypothesis is correct as the mean of the boys’ handspan is greater than the mean of the girls’.

Overall, from my pre- test I have found out that all my hypothesis are correct.

Mean of Pre test

Boys & Girls Combined Height

169 + 178 + 180 +173 +172 +156 +159 +157 +171 +170

10

= 168.5

Boys & Girls Combined handspan

22 + 24 + 24 + 22 + 24 + 19 +20 + 19 +20 + 19

10

= 21.3

Boys Height:

169 + 178 + 181 + 171 + 166 + 174 + 175 + 180 + 173 + 172

10

=  173.9 cm

Boys Handspan:

22 + 24 + 23 + 20 + 21 + 23 + 23 + 24 + 22 + 24

10

=  22.6 cm

Girls Height:

166 + 161 + 156 + 157 + 159 + 163 + 168 + 171 + 164 + 170

10

=  163.5 cm

Girls Handspan:

17 + 18 + 19 + 19 + 20 +20 + 20 + 20 + 21 + 19

10

=  19.3 cm

Mean

Boys height:

 Height Interval Tally Frequency Mid- Point 155 ≤ h < 160 2 157.5 160 ≤ h < 165 1 162.5 165 ≤ h < 170 10 167.5 170 ≤ h < 175 8 172.5 175 ≤ h < 180 5 177.5 180 ≤ h <185 4 182.5

Boys Handspan:

 HandspanInterval Tally Frequency Mid-Point

Conclusion

From the Correlation Coefficient calculations, I have found out that the boys data of both the height and handspan fits closer to the line of best fit than the girls does. This is because the result of the boys’ Correlation Coefficient is 0.506 which is closer to 1 than the girls 0.443.

For these pieces of investigation, I felt that I wasn’t using a large enough sample. I only used a total of 60 Year 10 students. This I feel isn’t a larger enough sample to truly show the relationship between height and handspan of the Year 10 pupils. This is due to the fact that there are over 300 Year 10 pupils in my schools and only using 60 out of 300 isn’t enough. A sample of around 200 would have been better and will give a clearer and a much better picture.

Also, I feel that my method of measuring the data could have been much better. I collected the data primarily (collected it myself). This, even though is a very good method gives more chance of mistakes to be made. Like when measuring the size of the handspan, some people’s hand could have been pulled apart further than other without anyone noticing. This meant that some would have had their maximum handspan recorded whilst others didn’t.

Furthermore, there are other methods of analysing my data that I didn’t do. I did do things like:

• Testing correlation coefficient for significance

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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