# Compare the heights and weights of pupils from Mayfield high school.

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Introduction

Maths GCSE Coursework (Mayfield High) My task is to compare the data of Mayfield high school children. My hypothesis in this task are shown below, I will use my data to show if my line of enquire is right or wrong and if so why. * Older pupils are tall/heavier. * The older the pupil the heavier they are. In this data I will compare the heights and weights of pupils from year 7 to year 11 and males and females, I am going to use data from different years because I would like to see if age makes a difference, also I am comparing both sexes to see if that differs. As it stand there is more boys than girls in the school and some of the years group are bigger than others, shown below: Year Boys Girls Total 7 140 131 271 8 145 121 266 9 118 143 261 10 108 94 202 11 84 86 170 595 572 1170 I have taken into account that some years are bigger than others, and there is more boys in the school so I have decided to take a certain amount of boys and girls from each year, my calculation are shown below: Yr 7 b = 140/595x30= 7 Yr 7 g = 131/575x30= 7 Yr 8 b = 145/595x30= 7 Yr 8 g = 121/575x30= 6 Yr 9 b = 118/595x30= 6 Yr 9 g = 143/575x30= 7 Yr 10 b = 108/595x30= 5 Yr 10 g = 94/575x30= 5 Yr 11 b = 84/595x30= 4 ...read more.

Middle

But I have found that there is an error in the data because in year 9 the median is 6.5 where as in year 8 it is only 6. This could be because there are different people and so different people grow more or less. I have found that in year 11, the mean is higher than in any other year group, and year 7 had the lowest mean. Also I can see that as the year groups increase the range decreases this could be because as you get older you start to grow less and so the range between the tallest and the smallest starts to narrow. I can see by my cumulative frequency curve that year 7 has the highest cumulative frequency in the tallest height group. In year 7 the group with the highest frequency was the 150?h<160cm. In year 8 the group with the highest frequency was 150?h<160cm and 160?h<170cm. Where as in year 9 the biggest group was 170?h<180cm. The biggest year 10 group was 160?h<170cm, and in year 11 the biggest group was 160?h<170cm. So I have come to the conclusion that from the data I have look at, people as they get older do grow but the gap between the smallest and the tallest does narrow. Where as the year with the biggest height group was year 9 with 170?h<180cm. But I can see with my cumulative frequency curve that year 7 has the highest total cumulative frequency where as year 11 has the lowest cumulative frequency. ...read more.

Conclusion

For this I have gathered data and sorted into groups and processed the data into tables and graphs, from this I can now look at the data and come to the conclusion on whether my theory was correct or not and why. From my data I can see that year 11 had the lowest median from all the year groups, and I can also see that year 7 have the highest median. This could because of growth which causes the weight to increase, but also the diet of the child may increase or decrease the weight of the child. Year 8 and Year 10 had the highest frequency in the biggest weight group. But year 8 has the highest frequency in the lowest weight group as well, so this shows that there is a big gap between the weights of the children in year 8. I can also see from my data tables that year 7 has the biggest range out of the whole year groups. Year 7 also had the highest lower quartile. The biggest upper quartile was found in year 9, and the average mode of the entire year groups was 50?w<60kg. So I have now come to the conclusion that age doesn't play a massive factor in the weight of a child if could also be because of the diet that they eat. But I have found from the children that I use for my data that the weight did increase as they got older and this is mainly due to growing, so this changes the weight of the child. ?? ?? ?? ?? Thomas Ordidge Maths Miss Vickers 10JG GCSE Coursework ...read more.

This student written piece of work is one of many that can be found in our GCSE Height and Weight of Pupils and other Mayfield High School investigations section.

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