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Correlation between the heights and weights of boys and girls in the school
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Introduction
Sarah Hancock 10L
Statistics Coursework
I am going to investigate data provided by Mayfield High School. I am going to look at forty bits of data and the difference in correlation between the heights and weights of boys and girls in the school. I am going to look at them separately and together because I can then compare them to each other.
Method for choosing my data
I am choosing my data by going to every other 10 names, for years 7, 8 and 9. Then every 5 names for years 10 and 11. I am going to record my data by putting it into tables one for girls and one for boys. My data is going to be collected by:
Name | Height | Weight | Year |
Alphabetical Order |
Then putting my data onto a scatter graph. A graph for all years, a graph for girls and a graph for boys.
Middle
1.67
...read more.
1.60
1.77
1.67
1.86
1.77
1.68
1.68
1.77
1.70
1.55
1.61
1.62
1.97
1.63
70
54
48
49
38
56
53
50
38
44
52
59
57
60
80
80
56
58
57
60
57
47
50
84
56
Name | Gender | Height | Weight |
Ali, Aisha Anderson, Kylie Bellfield, Janet Bolton, Megan Brown, Caroline Burney, Amna Campbell, Nichole Casey, Danielle Cook, Melissa Ali, Amera Black, Mia Bradbury, Natalie Brown, Louise Daniels, Charelle Mitchelle, Katy | Female Female Female Female Female Female Female Female Female Female Female Female Female Female Female | 1.52 1.42 1.58 1.72 1.59 1.35 1.57 1.46 1.62 1.62 1.75 1.69 1.73 1.76 1.58 | 45 41 40 43 48 51 62 45 49 56 57 51 58 52 36 |
Finding the equations on my graphs
To find the equation for the line of best fit I know it will be in the form ‘y = mx + c’ m = gradient, c = y intercept.
All years
Conclusion
x = 1.7
y = 58
So I need to replace x and y to find c:
58 = 7 x 1.7 + C
58 = 11.9 + C -11.9
46.1 = C
So the equation is:
y = 7x + 46.1
To test this I need to test it on the graph and using the equation:
The Graph
x = 1.6
y = 52
The Equation
y = 7 x 1.6 + 46.1
y = 11.2 + 46.1
y = 57.3
So this isn’t exact but it is very close.
Conclusion
On average the graph shows that the taller boys are heavier than the taller girls, and on average I would say my graphs show the boys to be heavier. My graphs show that the correlation is positive and it is good.
Small boys are lighter in weight than small girls. Medium boys are heavier in weight than medium girls, ditto with tall boys and tall girls. So my original prediction is correct, the majority of boys are heavier than girls.
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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