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• Level: GCSE
• Subject: Maths
• Word count: 6933

# Mayfield High School Project

Extracts from this document...

Introduction

Mithun Rama  GCSE Mathematics Statistics Courseowork

Mayfield High School Project

Introduction

Mayfield High School is a secondary school of 1183 pupils aged 11-16 years of age. There are 603 male pupils and 580 female pupils at this school. For my Data Handling Coursework, I will be investigating a line of enquiry from the pupils' data. Some of the options include the relationship between IQ and Key Stage 2 results, comparing hair colour and eye colour. However, I have chosen to investigate the relationship between height and weight. One of the main reasons being that this line of enquiry means that my data will be numerical, allowing me to produce a more detailed analysis rather than eye or hair colour where I would be quite limited as to what I can do.

If I were to make an original prediction of my results, my hypothesis would be;

"The taller the pupil, the heavier they will weigh."

In this project I will consider the link between height and weight and will eventually be able to prove whether my original hypothesis is in fact correct. Other factors I am going to consider when performing this investigation, is the effect of age and gender in my results and I will make further hypothesize when I reach that stage in my project.

Collecting Data

I have originally decided to take a random sample of 30 girls and 30 boys; this will leave me with a total of 60 pupils. I have chosen to use this amount as I feel this will be an adequate amount to retrieve results and conclusions from, although on the other hand it is not too many which would make my graph work far more difficult and in some cases harder to work with.

Middle

70:

80:

90:

From the diagrams above, I am now able to work out the mean, median, modal group (rather than mode because I have grouped data) and range of results. This is a table showing the results for both male and female pupils;

 Gender Mean Weight (kg) Modal Group Median (kg) Range (kg) Male 54.3 40kg-50kg 50 50 Female 47 40kg-50kg 46.9 31

Despite both male and female pupils having the majority of their weights in the 40-50kg interval, 11 out of 30 male pupils (37%) fitted into this category whereas 13 out of 30 female pupils (43%) did which is easily seen upon my frequency polygon. I could not really include that in supporting my hypothesis as the other aspects do. My evidence shows that the average male pupil is 7.3kg heavier than that of the average female pupil, and also that the median weight for the male pupils is 3.1kg above that of the female pupils. Another factor my sample would suggest is that the male pupils weights were more spread out with a range of 50kg rather than 31kg as the female pupils results showed. The difference in range is also shown on my frequency polygon where the female pupils weights are present in 5 group intervals, where as the male pupils weights occurred in 6 of them.

Height

I am now going to use the height frequency tables to produce similar graphs and tables as I have already done with the weight. Obviously as height is continuous data, as mentioned already, I am going to use histograms to show both boys and girls weights. I am also going to make another hypothesis that;

"In general the boys will be of a greater height than the girls."

Histogram of boys' heights

Histogram of girls' heights

Conclusion

I feel my overall strategy for handling the investigation was satisfactory, if I had given myself more time to plan what I was going to do I think I would have come up with a better method and possibly more successful project. One of the positive points about my strategy is that because I used a range of samples it meant that I was not using the same students' data throughout - I instead used a range of data therefore maintaining a better representative of Mayfied school on a whole. There is definitely room for improvements for my investigation - if I were to do it again I would spend a lot more time planning what I was going to do instead of starting the investigation in a hurry. Despite that I feel my investigation was successful as it did allow me to pull out conclusions and summaries from the data used.

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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