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  • Level: GCSE
  • Subject: Maths
  • Essay length: 1582 words

Height and weight comparison - Mayfield High School Project.

Extracts from this essay...

Introduction

Mayfield High School Project. Introduction: For my coursework, I will be exploring three hypotheses, and if time allows, another three will be studied. The first three that I will try to prove true or false are; * Taller people are heavier * Boys are taller than girls * Boys are heavier than girls. The two others that will be explored if I have the chance are; * Older boys and girls are taller than younger ones * Older boys and girls are heavier than younger ones. The two extra hypotheses are related the second and third hypotheses I am definitely doing. I will expand the second and third to see if age is a factor. To start proving my theories correct or wrong, I will need heights and weights of children from a school. I will be using the booklet provided which contains data of 1183 pupils at Mayfield High School. I will need 100 sets of data, approximately 50 boys and 50 girls. We were told that 100 would provide sufficient information to display on graphs and histograms, or 20% of the whole amount of data. Hypothesis 1 - Are taller people heavier? Introduction: For this hypothesis I am going to see if taller people are heavier, i.e. does height affect weight? To carry this out, I will need heights and weights of pupils. Once collected I will put them into a table, one of boys heights and weight, another with girls.

Middle

36 132 165 49 143 155 36 Year 10 22 168 50 33 162 35 44 157 48 55 172 50 66 155 48 77 162 48 88 173 45 Year 11 12 168 54 24 150 45 36 175 60 48 163 44 60 158 48 72 155 36 84 178 35 These tables show enough data to be displayed on a scatter graph. The scatter graph is on the following page. Comments: From my scatter graph showing heights against weights of 51 boys and 49 girls, I can say that height does affect weight. As nearly all of the heights increase, the weight increases as well. There are some tall and light people, and short and heavy people, which proves that my hypothesis isn't 100% accurate. Some people don't follow my theory, and they have been included in the graph to show my theory was wrong. There wasn't a strong correlation on my graph, as the weight axis wasn't as spread out (31-86... 55 difference) whereas the height axis was a lot more varied (119-203... 84 difference). This spread the graph wider, making the results show a more horizontal correlation. Hypothesis 2 - Are boys taller than girls? Introduction: For this hypothesis I shall plot a Cumulative Frequency polygon. From these I will then be able to draw two Box-plots, which will show us if boys are taller than girls.

Conclusion

The boys' Q1 and Q3 are further spread out, leading to a larger Inter-Quartile Range. The girls' left hand 'whisker' on the box-plot extends further left than the boys, showing that there was at least one girl who was shorter than the shortest boy. And the same appears on the right hand side. The boys' right hand whisker extends further right than the girls one, showing us that there was at least one boy taller than the tallest girl. Hypothesis 3 - Are boys heavier than girls? Introduction: For this hypothesis, I will be repeating all the steps taken in the previous investigation, but using weight data instead. I will try to discover if boys are heavier than girls, or if my theory is wrong. I will display all my results in the same way as the previous hypothesis; tables, which will then be rearranged, CF polygons, box-plots and finally histograms. Weights: Boys - min. 31 max. 86 Group / kg Tally Frequency 30<x<40 6 40<x<50 20 50<x<60 14 60<x<70 7 70<x<80 2 80<x<90 2 Girls - min. 35 max. 62 Group / kg Tally Frequency 30<x<40 6 40<x<50 21 50<x<60 19 60<x<70 3 Boys - Rewritten Groups Group / kg Frequency Cumulative Frequency (CF) 30<x<40 6 6 40<x<45 9 15 45<x<50 11 26 50<x<55 11 37 55<x<60 3 40 60<x<70 7 47 70<x<90 4 51 Girls - Rewritten Groups Group / kg Frequency Cumulative Frequency (CF) 30<x<40 6 6 40<x<45 7 13 45<x<50 14 27 50<x<55 14 41 55<x<60 5 46 60<x<70 3 49

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