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Find how a child's height and weight changes between year 9 and year 10 and then see the differences in height and weight between boys and girls in year 9 and then do the same for year 10.

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Introduction

Robert Ashley

Maths Coursework

Data Handling Project

Specify The Problem And Plan

I hope to find how a child’s height and weight changes between year 9 and year 10 and then see the differences in height and weight between boys and girls in year 9 and then do the same for year 10. I have chosen year 9 and year 10 because in year 9 boys and girls heights and weights are still fairly similar but by year 10 a boys measurements should change considerably. Also there should be quite a big gap between the boys and girls heights but their weights should be much closer together on average. Therefore there should be quite a small gap between girls and boys in year 9 but by year 10 they should be getting wider apart.

       I will find these differences by finding the mean, median, upper quartile, lower quartile and interquartile range. Also I will do scatter graphs, box and whisker graphs and cumulative frequency graphs.

       I have chosen 42 children from year 9 and 32 from year 10 and approximately 75 children in total. I will explain why there are more from one year later.

       One limitation of this project is that we have to use only a

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Middle

0.093 x 118 = 11               34                             0.289 x 143 = 41             24

0.161 x 118 = 19               37                             0.667 x 143 = 95             30

0.722 x 118 = 85               72                             0.353 x 143 = 50             34

0.607 x 118 = 72               78                             0.140 x 143 = 20             41

0.966 x 118 = 114             83                             0.235 x 143 = 34             50

0.229 x 118 = 27               85                             0.413 x 143 = 59             51

0.285 x 118 = 34               91                             0.825 x 143 = 118           59

0.059 x 118 = 7                 108                           0.440 x 143 = 63             63

0.999 x 118 = 118             112                           0.131 x 143 = 19             81

0.987 x 118 = 117             114                           0.035 x 143 = 5               89

0.707 x 118 = 83               117                           0.729 x 143 = 104           95

0.277 x 118 = 33               118                           0.027 x 143 = 4               104

                                                                           0.355 x 143 = 51             118

                                                                           0.166 x 143 = 24             119

                                                                           0.829 x 143 = 119           136

                                                                           0.086 x 143 = 13             140

I need 17 boys from year 10                                     I need 15 girls from year 10

                             Numbers in ascending                                    Numbers in ascending

                                         Order                                                                 order

0.879 x 106 = 93                4                                     0.558 x 94 = 52           20                                      

0.994 x 106 = 105              6                                     0.849 x 94 = 86           23

0.727 x 106 = 77                18                                   0.

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Conclusion

      Both height-weight graphs are strong positive correlations, but year 9’s is slightly stronger and this is shown when we do the calculation for mean distance from the line of best fit. In year 9 the calculation comes to 0.85cm but year 10’s is 1.42cm, so year 9’s results are less spread apart than year 10’s.

      These results are moderately significant if you want a basic look at year 9 and year 10’s height and weights. But if you want a better overlook of year 9 and 10 you need to do a survey over every school and every pupil in those schools.

      I think that my strategy towards investigating heights and weights of school pupils has been quite good and accurate. I have done this investigation very systematically so the results are easy to understand.

      The main improvement to this investigation would be to use more pupils and pupils from different schools, so you are looking more at year 9 and 10 in the country than just year 9 and 10 in one school.

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