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  • Level: GCSE
  • Subject: Maths
  • Word count: 5131

Handling Data - Mayfield High School

Extracts from this document...

Introduction

GCSE Mathematics Coursework Handling Data - Mayfield High School Key Stage 2 results at Mayfield School The Plan I am investigating the factors that affect Key Stage 2 results. Factors that may affect Key Stage 2 results are: IQ If someone is intelligent they are more likely to get good Key Stage 2 results Primary school The standard of education at different primary schools varies so the understanding of subjects of different pupils is likely to be affected by their primary schools'. Age The older pupils in a year, those whose birthday is in September, may have acquired a better understanding in their subjects due to their brains being more fully developed whereas younger students in a year, those whose birthday is in August, will be at more of a disadvantage concerning Key Stage 2 results as their minds will not be as developed as those older than them. Year group New teaching methods, such as the Numeracy Hour, have been introduced since older years, such as years 10 and 11, have been educated and so the younger years, for example years 7 and 8, may have benefited from these new teaching methods and have a better understanding of their subjects therefore are more likely to get better Key Stage 2 results. Gender It is said that in general girls cope better in exam conditions than boys and so are more likely to get better Key Stage 2 results. I cannot investigate how different primary schools and how new teaching methods, such as the Numeracy Hour, affect the students' Key Stage 2 results as I do not have the data to support this. I am going to investigate how IQ and gender affect Key Stage 2 results. Hypothesis 1: There is a strong positive correlation between IQ and Key Stage 2 results. Hypothesis 2: (a) IQ of boys and girls is normally distributed, in line with national ....figures. ...read more.

Middle

49 20 102 49 122 109 50 35 96 50 53 100 I will now group my data for the boys' IQ and use this to draw a histogram. Group Frequency Class width Frequency Density 70 - 85 2 15 0.1 86 - 95 4 10 0.4 96 - 100 26 5 5.2 101 - 105 8 5 1.6 106 - 115 4 10 0.4 116 - 125 3 10 0.3 126 - 135 3 10 0.3 Histogram to show the IQ of boys in year 8 at Mayfield School The histogram I have drawn to show the IQ of boys in year 8 at Mayfield School has a curve with a 'bell-shape' which suggests that the IQ is normally distributed but to provide further evidence of this I am going to now find the mean and standard deviation of the data. If 68% of the data lies within 1 standard deviation of the mean, and 95% of the data lies within 2 standard deviations of the mean, this means it is normally distributed. I found the mean of the boy's IQ from my sample to be 101. To find 1 standard deviation of my data I will use the following formula: f is the symbol I'm using for frequency x is the symbol I'm using for the midpoint of the group ? is the symbol I'm using for standard deviation ? is the symbol I'm using for 'the sum of' is the symbol I'm using for the mean Group x f x- (x-)2 f(x-)2 70 - 85 77.5 2 -23.5 552.25 1104.5 86 - 95 90.5 4 -10.5 110.25 441.0 96 - 100 98.0 26 -3.0 9.0 234.0 101 - 105 103.0 8 2.0 4.0 32.0 106 - 115 110.5 4 9.5 90.25 361.0 116 - 125 120.5 3 19.5 380.25 1140.75 126 - 135 130.5 3 29.5 870.25 2610.75 ?f 50 ? ...read more.

Conclusion

10 girls 89 95 3 3 3 3 66 90 3 3 3 3 25 105 5 5 4 5 18 100 4 4 4 4 Year 11 girls 37 100 4 4 4 4 2 108 5 5 5 5 39 97 3 3 3 3 31 104 4 4 4 4 Scatter graph showing relationship between Boys IQ and Key Stage 2 results Scatter graph showing relationship between Girls' IQ and Key Stage 2 results Comparing these two scatter graphs I've drawn I can see that they are very similar. Neither of the graphs show either boys or girls to have gotten higher grades than the other. I think this is quite significant as it provides good evidence to support my hypothesis that gender makes no difference to Key Stage 2 results. I am confident that my results are reliable because I have used the same stratified sample as I used in Hypothesis 1 and I believe this to be a reliable sample as it avoided bias because I used the random number function on my calculator to obtain it. I am confident that my results are valid for the whole school because the stratified sample I used was representative of the whole school. I managed to find evidence to support all three hypotheses. I did not come across any suspect data throughout my investigation so as far as I know all the data I used was reliable but I really cannot be sure as I wasn't the person who collected the data. I could extend my investigation by testing whether there is still strong positive correlation between IQ and just the English Key Stage 2 result as opposed to an average of all three, English, Maths and Science, results. I could also extend my investigation by testing whether Age influences Key Stage 2 results. For example, those whose birthday is in September may be at an advantage compared to those whose birthday is in July or August. Jess Blair 10.7 1 ...read more.

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