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# From the selection of data provided, I will investigate the relationship between height and weight of people.

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Introduction

Statistics Coursework From the selection of data provided, I will investigate the relationship between height and weight of people. I think that there will be a good affiliation in all of the data between height and weight. My expectation is that the taller a person is, the more likely that they will be heavier. I will show this through scatter diagrams and cumulative frequency graphs. The data had been sorted by reference number so there is no influence of age, gender, height or weight. To have a conclusion, which I will come to, is true, I will take a stratified sample of approximately 100 people. Introduction I will investigate three hypotheses, these are: 1) The taller you are, the heavier you are 2) ...read more.

Middle

Reference number 76 only has a weight of 9kg, which is humanly impossible as they have a height of 1.60m. Also, reference number 159 has a height of 4.65m, which is also humanly impossible. The last piece of data I will not be able to use is reference number 433. It says their weight is 140kg. Stratified Sample Number of students is group X100 Total number of students Year Group Number of Boys Number of Girls Total Boys Girls 7 151 131 282 (151/1183) x 100 = 13 (131/1183) x 100 = 11 8 145 125 270 (145/1183) x 100 = 12 (125/1183) x 100 = 11 9 118 143 261 (118/1183) x 100 = 10 (143/1183) x 100 = 12 10 106 94 200 (106/1183) x 100 = 9 (94/1183) x 100 = 8 11 84 86 170 (84/1183) ...read more.

Conclusion

To be able to compare the height and weight in general, I will put the entire data into one graph and see if there is any strong/weak correspondence between the two. The graph on the previous page shows the height compared to the weight from 100 students. There is a positive correlation between the height and weight. The correlation co-efficient is 0.70, which does show a strong correlation. This is supported by the graph as most of the points are close to the line of best fit. However, there is one point which is a long way from the line of best fit. This is known as the outliner. The point is a person who has a height of 1.03m and a weight of 45kg. This is a very low height for that weight but it is possible. The equation of the line of best fit can be used to find out the average height weight ration for someone. ...read more.

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