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  • Level: GCSE
  • Subject: Maths
  • Word count: 1773

The aim of my investigation is to use and apply my understanding of statistics and statistical techniques to investigate the two following hypothesis - There is a correlation between Key Stage 3 (KS3) and GCSE results.

Extracts from this document...

Introduction

INTRODUCTION The aim of my investigation is to use and apply my understanding of statistics and statistical techniques to investigate the two following hypotheses: SCHOOL A -Highgram School Hypothesis 1: There is a correlation between KS3 & GCSE results. RAW DATA (table 1) GENDER KS3 LEVEL GCSE GRADE GENDER KS3 LEVEL GCSE GRADE BOY 3 U BOY 7 A BOY 3 U GIRL 3 E GIRL 3 G GIRL 3 D BOY 4 U BOY 4 F BOY 5 E GIRL 5 E GIRL 5 C BOY 5 D GIRL 5 E GIRL 5 D GIRL 5 E BOY 5 D GIRL 6 D BOY 5 E BOY 6 D GIRL 5 D BOY 6 D GIRL 5 C GIRL 6 C BOY 5 D BOY 6 D BOY 5 D GIRL 6 C GIRL 5 C GIRL 6 E BOY 6 B BOY 6 D GIRL 6 C GIRL 6 C BOY 6 D BOY 6 D GIRL 6 D GIRL 7 B GIRL 6 A BOY 7 A GIRL 6 C GIRL 3 F GIRL 6 D BOY 3 G GIRL 6 C GIRL 4 F GIRL 7 A BOY 4 U GIRL 4 U GIRL 5 E BOY 5 E GIRL 5 E GIRL 6 B GIRL 6 B GIRL 6 C BOY 6 B BOY 6 E GIRL 6 C GIRL 6 C GIRL 6 B GIRL 6 B With my acquired raw data (table 1) ...read more.

Middle

We can use scattergraphs to examine this correlation further. A correlation is an association or link between two variables (in this case the KS3 level and GCSE grade). A scattergraph can tell us: > If any association exists, > The strength of the association, > The direction (+ve or -ve). If there is a correlation then I will be fit to draw a 'line of best fit', this is drawn so that the points are evenly distributed on either side of the line, using this it is possible to make predictions or complete any missing data. Again I have used Microsoft Excel to produce a scattergraph (chart 5, page 9). Seeing I had to deal with non-numeric data (GCSE grades) I have coded it accordingly: U - 1 D - 5 G - 2 C - 6 F - 3 B - 7 E - 4 A - 8 The scattergraph when a line of best fitted shows that there is a positive correlation, which is very weak. Using the line of best fit it is again possible to prove that a KS3 level 6 corresponds to a GCSE grade D. CONCLUSION I am now able to accept hypothesis 1 and can say that there is a positive, but quite weak correlation between the results of KS3 and GCSE. ...read more.

Conclusion

Now, I will rearrange table 1 into the girls and boys separately, so I will be able to generate scattergraphs for the girl's (chart 12, page 20) and boy's (chart 13, page 21) results separately. RAW DATA (table 4 as table 1, but arranged in terms of gender) GENDER KS3 LEVEL GCSE GRADE GENDER KS3 LEVEL GCSE GRADE BOY 7 A GIRL 6 C BOY 7 A GIRL 6 C BOY 6 D GIRL 6 C BOY 6 D GIRL 6 C BOY 6 D GIRL 6 C BOY 6 D GIRL 6 C BOY 6 D GIRL 6 C BOY 5 E GIRL 6 C BOY 3 G GIRL 6 C BOY 3 U GIRL 3 D BOY 3 U GIRL 5 D BOY 4 U GIRL 5 D BOY 6 B GIRL 6 D BOY 6 B GIRL 6 D BOY 5 D GIRL 6 D BOY 5 D GIRL 3 E BOY 5 D GIRL 5 E BOY 5 D GIRL 5 E BOY 6 D GIRL 5 E BOY 5 E GIRL 5 E BOY 5 E GIRL 5 E BOY 6 E GIRL 6 E BOY 4 F GIRL 3 F BOY 4 U GIRL 4 F GIRL 6 A GIRL 3 G GIRL 7 A GIRL 4 U GIRL 6 B GIRL 6 B GIRL 6 B GIRL 6 B GIRL 7 B GIRL 5 C GIRL 5 C GIRL 5 C ...read more.

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