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Comparing the height and weight of the pupils at Mayfield High School

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Introduction

Jack Davies                                    

Maths

GCSE Maths Statistics Coursework

For my maths statistics coursework I am going to be comparing the height and weight of the pupils at Mayfield High School. I will compare height and weight because it is continuous data. Firstly I will take a sample of the data.

To get a sample of my data I will tell the spreadsheet to assign a random number to each set of data and then display the data in order of these numbers, I will then chose the top 50 rows of data as my sample. I have chosen this method because it is completely random and easy to do. I will avoid choosing a biased sample by randomising the order of the data again if the sample appears to be biased.

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Middle

1.70

42

642

1.71

68

391

1.59

44

317

1.60

41

112

1.62

40

934

1.79

72

198

1.62

54

656

1.61

35

929

1.63

54

262

1.75

60

737

1.60

74

636

1.53

47

I will start by plotting a scatter graph of the height of the pupils against their weight.

image00.png

The graph shows that there is positive correlation. It tells us that as the taller the pupil the heavier he or she is but there are a few exceptions. The line of best fit tells us that a person who is 1.6 meters weighs about 51 kilograms. I can also work out how strong the correlation is, 0 being the weakest correlation and 1 being the strongest correlation.

I have found out that the generally the taller a person is the heavier he or she is and this is what predicted would be the case.  I am now going to take

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Conclusion

Conclusion

I finally conclude that boys are taller than girls. I have the evidence to prove it. Also that it is true that the heavier you are the taller you are. There are some strands of data to go against that. My assignment has been a success. The weight and height graph supports my original hypothesis as it shows positive correlation. I used a scatter graph to display this information because the data was very spread out and most suitable for a scatter graph.

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