# Statistics coursework Edexcell

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Introduction

Statistics Coursework Introduction During this investigation I will be analysing data taken from Mayfield high school database, where by this data is stored electronically and is secondary data. I will be focusing on male and female students in the age range of 11-14. I will take a stratified sample of males and females in this age range. I anticipate that year sevens will be smaller and weight less than year nine and eights. To prove or disprove this theory i will carry out some statistical analysis as described bellow. I will use Body Mass Index (BMI) to create different diagrams such as box and whisker diagram. Hypothesis 1. That year seven boys will be smaller than year eight boys 2. That year seven girls will be smaller than year eight girls 3. That year eight boys will be smaller than year nine boys 4. That year eight girls will be smaller than year nine girls 5. That year seven boys will weigh less year eight boys 6. That year seven girls will weigh less year eight girls 7. That year eight boys will weigh less year nine boys 8. That year eight girls will weigh less year nine girls 9. ...read more.

Middle

FX2 / ? FX) - = V(7440/292) -20.86 = 2.14 Year seven girls BMI Midpoint(x) Frequency(f) FX FX2 12?X<14 13 1 13 169 14?X<16 15 3 45 675 16?X<18 17 4 68 1156 18?X<20 19 2 38 722 20?X<22 21 2 42 882 22?X<24 23 3 69 1587 24?X<26 25 1 25 625 26?X<28 27 0 0 0 28?X<30 29 0 0 0 30?X<32 31 0 0 0 total 16 300 5816 Table 19 FX = frequency x Midpoint FX2 = frequency x Midpoint2 Mean = ? FX / ? F = 18.75 = Standard deviation = V(? FX2 / ? FX) - = V(5826/300) -18.75 = 0.82 Year eight girls BMI Midpoint(x) Frequency(f) FX FX2 12?X<14 13 0 0 0 14?X<16 15 0 0 0 16?X<18 17 6 102 1734 18?X<20 19 5 95 1805 20?X<22 21 1 21 441 22?X<24 23 1 23 529 24?X<26 25 2 50 1250 26?X<28 27 1 27 729 28?X<30 29 0 0 0 30?X<32 31 0 0 0 total 16 318 6488 Table 20 FX = frequency x Midpoint FX2 = frequency x Midpoint2 Mean = ? FX / ? F = 19.86 = Standard deviation = V(? FX2 / ? FX) - = V(6488/318) ...read more.

Conclusion

nine boys Disproved Scatter graph Graph 1 which proves this by the year eight points being higher than the year nine points That year eight girls will be smaller than year nine girls Disproved Scatter graph Graph 2 which proves this by the year eight points being higher than the year nine points That year seven boys will weigh less year eight boys Proved Scatter graph Graph 1 which proves this by the year eight points being wider than the year seven points That year seven girls will weigh less year eight girls Proved histograms Graph 4 which proves this by the year eight bars being over a wider spread than year seven bars That year eight boys will weigh less year nine boys Disproved Histograms Graph 3 which proves this by the year eight bars being over a wider spread than year nine bars That year eight girls will weigh less year nine girls Disproved Box and whisker diagrams Graph 8, histograms Graph 6 which proves this by the year eight bars being over a wider spread That BMI of boys will be higher than that of girls Proved BMI data Table 14 - 15 the boys have higher values than girls e.g. Highest boys = 30.8 Highest girls = 26.1 ?? ?? ?? ?? Arjun Sharma Page 1 24/03/2011 ...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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