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# I am going to investigate the hypothesis that girls do better than boys at KS3 and that Market Bosworth have better KS3 results than Winstanley.

Extracts from this document...

Introduction

Introduction

I am going to investigate the hypothesis that girls do better than boys at KS3 and that Market Bosworth have better KS3 results than Winstanley.

The random samples that I’m going to take are 60 girls and 60 boys, so to make it fair I’m going to take 20 girls from each school and 20 boys. When comparing Market Bosworth and Winstanley’s results I will take a sample of 60 pupils from each school, 30 boys and 30 girls. I chose to take these samples because it gave an equal amount of pupil’s male/female or Market Bosworth/Winstanley to avoid any bias results.

I’m also I’m going to draw a box plot using the lower quartile, upper quartile and median results from the cumulative frequency diagram this will help me produce a inter quartile range and this will tell me the range of marks the middle 50%.

When associating the levels with a number I will have to give B, N and E a value, this will help

Middle

I drew out a few diagrams such as the box plot (already mentioned), a cumulative frequency diagram and a histogram.

The C/F diagram showed very close scores in between the girls and the boys, this was shown by the way the ‘s’ shaped lines overlapped each other with no real anomaly results showing clearly. The histogram yet again has shown a positive result in connection with my hypothesis; there was a constructive amount of scores between the marks 17- 20 where the frequency density was higher than 5 and reached all the way to 11, on the other hand the boys ranged from a frequency density of 2 to 6 in between the marks 17- 20.

Market Bosworth do better than Winstanley?

My results do support my hypothesis that Market Bosworth has better KS3 results than Winstanley; this has been shown when I calculated the mean of the mid-point multiplied by the frequency divided by the number of pupils taken in the sample I took. Bosworth had shown to have a higher mean than Winstanley, Bosworth with a mean of 17.067 and Winstanley with a mean of 14.5.

Conclusion

The only real problem I came across was tallying up the marks to put in the group frequency table.

If I were to do this again I would have used a stratified sample to make it fairer and to give a fair and more accurate out come overall.

Also we used secondary evidence, so next time I would used primary, this way I know for certain that nobody had changed any of the marks. I also might used pupils actual score from the tests they did instead of using the level they got because they might have a really high 6 or a really low 6 for example and by using the actual marks from the tests the results could have been very much more accurate.

I think I would have thought more carefully about how I would deal with marks classed as ‘B’,’N’ and ‘E’ to make it simpler or I could even leave them out.

I could also improve my method by using a larger sample to give a wider range of results with yet again a better out come of more accurate result being produced at the end.

This student written piece of work is one of many that can be found in our AS and A Level Probability & Statistics section.

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