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How the mass and height of the pupils differ from each other in different year groups. Hypotheses:

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Introduction

Maths Coursework PLANNING Introduction: This piece of coursework that is going to be studied is about Data Handling. The data I will be looking at will be from Mayfield High. There is a whole database of information available and I will be looking at two specific pieces of data. When examining this set of data I will then be able to make various hypotheses to investigate my project with. I will then draw conclusions on the data from my results. I will also draw graphs that are relevant to prove my point. The two pieces of data that I will be investigating are: > How the mass and height of the pupils differ from each other in different year groups. Hypotheses: There will be a main theme for my main hypotheses, which will be split up into three hypotheses. The main theme however will be height and mass. 1) Boys are taller than girls in Year 7 and 8. Aim: I will show this data by, firstly, plotting all the heights of boys and girls on separate so I can compare the heights of all the pupils and can easily see the spread of data. Then I will calculate the average height of the boys and girls to clearly see the taller gender. Furthermore, to prove my hypothesis I will plot a cumulative frequency graph with a box and whisker diagram with boys and girls on the same graph. This will show the quartiles of the data, the spread of the data and the median. I will also use standard deviation, which will show how much the data deviates from the mean. This will again show the spread of data. 2) Boys are heavier than girls in KS4 Aim: To show this data I will just use a histogram on which I will plot both the weights of the females and males. This will show me the spread of data and in which weight interval most the girls and boys will fall into. ...read more.

Middle

Weight Frequency of boys Frequency of girls 30 to 40 0 2 40 to 50 1 4 50 to 60 6 2 60 to 70 4 1 The histogram above shows the weight intervals and the frequency of girls and boys in these intervals. In this case all the intervals are the same (10kg) so the rectangles have the same width. My reasoning for choosing a histogram to present this data is because I can see between what intervals most boys and girls are between. This will help me to find out the concentration of data for each gender, thus proving the heavier gender and in all leading up to proving my hypothesis. The histogram shows boys in yellow and girls in blue. The range can also be seen to be larger on the histogram for the girls who range from 30 to 70kg whereas the boys range from 40 to 70kg. The bars for girls take up more intervals on the histogram proving this. To further prove this the standard deviation calculated and explained above also shows this larger range in girls. The histogram also shows that boys are heavier than girls because it there are a larger number of boys who fall in the 50 to 60kg interval. It shows that most boys come in the 50-60kg interval and also a large number of boys that fall in the 60-70kg interval. However most the girls fall into the 40-50kg interval, but only a small number of boys come into this category. Therefore this means that the boys have larger weights than the girls. Boys are heavier than girls in Year 10 YEAR 11: Table of Values of Histogram [Females]: Class Int. Mid. Int. (x) Class Width Freq. Cum. Freq. 0 � x < 10 5 10 0 0 10 � x < 20 15 10 0 0 20 � x < 30 25 10 0 0 30 � x < 40 35 10 0 0 40 � x < 50 45 10 ...read more.

Conclusion

Female 1.65 48 9 Anakin Pauya Male 1.65 45 9 Boyo Jon Male 1.47 42 9 Crawford Jamie David Male 1.80 51 9 Fenton Aaron Mark Male 1.85 55 9 Hardy Jeff Matthew Male 1.57 45 9 Hunt Gareth Blake Male 1.61 62 9 Jones Brian Simon Male 1.32 38 9 Luckler Ryan Male 1.81 68 9 Mozin Warren Randell Male 1.72 57 9 Samas Sam Male 1.48 43 9 Suggat Bob Male 1.70 50 9 Wilson David Daniel Male 1.71 44 10 Blashaw Holly Female 1.73 51 10 Cell Jill Female 1.47 45 10 Fawn Attoosa Female 1.73 45 10 Hall Jane Samantha Female 1.51 36 10 Kelson Nina Leilah Female 1.80 60 10 Mitchelle Kiran Female 1.58 36 10 Riley Charlotte Female 1.62 42 10 Slater Sara Female 1.60 50 10 Turner Sarah Female 1.39 42 10 Arnold Kevin Male 1.70 57 10 Brown Thomas Andrew Male 1.63 40 10 Collins Alex Matthew Male 1.55 57 10 Faraday Micheal Joseph Male 1.65 50 10 Honda Pablo Male 1.85 62 10 King Joseph Male 1.70 58 10 Little Adam Male 1.67 60 10 Paul Thomas Male 1.61 56 10 Saj Shida Raja Male 1.65 68 10 Smith Saf Male 1.89 64 10 Walton Kevin Trevor Male 1.80 68 11 Berry Shelly Laura Female 1.73 64 11 Buyram Dawn Elizabeth Female 1.65 42 11 Feehily Christina Jean Female 1.72 60 11 Heap Louise Stephanie Female 1.80 42 11 Kelly Sarah Female 1.55 60 11 McMillan Collen Jade Female 1.58 48 11 Protrochi Ivanova Sege Female 1.54 65 11 Thomson Jade Louise Female 1.52 48 11 Beck William Lewis Male 1.72 63 11 Chidgley Steven Male 1.62 52 11 Downey Colin Clarke Male 1.68 50 11 Hawkins Tim Male 1.62 63 11 Justice Tony Philip Male 1.67 60 11 Mamood Keith Norman Male 1.68 58 11 Olderson Stuart Martin Male 1.62 48 11 Singh Norman Murray Male 1.51 38 11 Warne Michael Barry Male 1.84 76 David Osborne Mayfield High Data Handling - 1 - ...read more.

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