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  • Level: GCSE
  • Subject: Maths
  • Document length: 6933 words

Mayfield High School Project

Extracts from this document...

Introduction

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. To retrieve my data I am going to firstly use a random sample as this means that my data is not biased in any way, and all of the pupils will vary in height, weight and age - although I will have an equal gender ratio. ...read more.

Middle

result was available, however if I were to find the results myself I would do so by finding the gradients and looking at the point where they intercept the y axis): Male Pupils: y =66.64x+55.58 Female Pupils: y = 41.59x+19.67 I have now reached a point in my investigation where my random sample of 30 boys and girls is not necessary anymore. There have definitely been some clear conclusions made from my graphs and tables already, which have all in fact fitted in with my predictions made. However my predictions are only based on general trends observed in my data, and in both the male and female samples there were individuals whose results did not fit in with the general trend. I cannot have complete confidence in my results so far due to the fact this is only a random sample of 30 female pupils and their` age has not been considered which I now feel is a necessary factor. I have spent a good amount of time considering different genders but now I am going to look at age differences. It is only common sense that age is going to affect your height and weight, for you would think a year 7 pupil would be smaller and lighter than a pupil in year 11. As Mayfield High School is a growing school there would be more pupils in year 7 than in year 11, therefore my random sample was likely to contain more year 7 pupils than year 11 - this is biased and unfair. To ensure that I obtain a data set with an accurate representation of the whole school, I am going to have to take a stratified sample. A stratified sample means that you sample a certain amount from a particular group to proportion that group's size within the whole population, i.e. pupils within year 8, within the whole school. ...read more.

Conclusion

Although when it came to the stratified sample, and I was looking at the different age groups using again a sample of 60 trying to represent the school on a smaller scale - I do not feel it was as successful. If I were to repeat or further this investigation - I would definitely use a larger number of pupils for the stratified sample as when the numbers of the school pupils were put on a smaller scale, I only ended up in some cases with a scatter graph with only 4 datum points upon for the year 11 students. To retrieve accurate results from this method of sampling, I feel it is necessary to use a sample of at least 100. Additionally to the stratified work, if I had a larger sample - I would also produce additional graphs, i.e. cumulative frequency/ box and whisker, as I feel that I could draw a better result from these as I felt the scatter diagrams I produced were rather pointless. 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. Mithun Rama GCSE Mathematics Statistics Courseowork ...read more.

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