Box helps explain data visually.

Cumulative frequency will show in tables and in graphs.

IQ averages

Level 2 - 76.17647

Level 3 - 93.36667

Level 4 - 101.2

Level 5 - 110.9

Level 6 - 119.15789

Overall - 100.36592

Cumulative Frequency Tables

Level 2

Level 3

Level 4

Level 5

Level 6

To extend my research I am going to do the extension. In the following research I am going collect the IQ for level 3 in Key Stage 2, Year 7 and Year 11 to compare the set of results. I will determine if the average IQ for level 4 has decreased or increased witch will indicate if the tests are getting harder or easier.

Cumulative frequency

Year 7 Level 4

Year 10 Level 4

Cumulative frequency

Yr 10 Girls Maths IQ

Yr 10 Boys Maths IQ

Analysis and Conclusion

The level 2 results have an

IQ average of: 76.17647

The Median: 75

Upper-quartile: 86.5

Lower-quartile: 71.5

Inter-quartile range: 15

The level 3 results have an

IQ average of: 93.36667

The Median: 92

Upper-quartile: 98

Lower-quartile: 88

Inter-quartile range: 10

The level 4 results have an

IQ average of: 101.2

The Median: 100

Upper-quartile: 102.5

Lower-quartile: 97

Inter-quartile range: 5.5

The level 5 results have an

IQ average of: 110.9

The Median: 108

Upper-quartile: 116

Lower-quartile: 107

Inter-quartile range: 9

The level 6 results have an

IQ average of: 119.15789

The Median: 118.5

Upper-quartile: 127

Lower-quartile: 113

Inter-quartile range: 14

My prediction was that a higher Key Stage 2 result a higher IQ. I think that my results agree and support my prediction as an average IQ for level 2 is 76.17647 and for level 3 is 93.36667 and it keeps growing for each level until it reaches 119.15789.

Conclusion

My investigation proved to be successful.

I managed to find accurate data put them onto tables, graphs and box plots all off these made it easy but there were some difficulties the graphs didn’t have the curves as smooth as I though. I think this is because there were some errors in the data. There is no program to do box plots on the computer so I had to them by hand. I think my results as accurate as possible. If I had another chance to do it again I will spend more time on it to make it the best it could be.

In the first section of the coursework I had to investigate if Key Stage 2 Results has an effect on your IQ. The graphs and the data show that they have a positive correlation between them that means as one goes higher the other one goes higher as well.

The first extension I had to investigate if the tests are getting harder or easier from year 7 up to year 11. The graphs and the data show that the tests get harder from year 7 – 11.

The second extension was to show which gender is smarter then the other. My graphs show that the boys are smarter then the girls. The girls have a lower minimum IQ and the Boys also have a higher maximum IQ.