After sorting the data I then went onto autograph and created a box and whisker diagrams to show the correlation better and also it shows clearly the lower and upper quartiles and the inter quartile range. The first diagram shows the data with the anomalies and the second without.
Box and whisker diagrams to show the comparisons between level 3, 4 and 5 with mixed gender including anomalies
Box and whisker diagrams to show the comparisons between level 3, 4 and 5 with mixed gender
This information proves my hypotheses to be right because there is a correlation between KS2 results and IQ levels.
The box and whisker diagram also shows a correlation IQ and levels. The anomalies I discovered earlier were inaccurate and do not follow suit I feel this because they are far off the other results so I have deleted theses from my results in order to get better results.
The IQ ranges are both quite high in levels 3 and 5 with 26 for level 3 and 23 level 5 where as in level 4 the range is only 17 this indicates the level 4 students have a closer group of IQ. I expected to find this about the level 5 as they are a higher group.
Again I was quite shocked to find that level 5 had the highest inter quartile range and would have expected the lower levels to have a higher inter quartile range, this shows that the level 5 students as a hole is quite a mixed ability level. However level 5 students have a extremely high highest IQ which could have lead to the range and IQR being grater that the other levels because there highest IQ are no where near the same as the level 4 students.
The upper and lower quartiles were much the same as I expected them to be as they all steadily increased from the level 3-5 86-104 with level 5 being the highest and 3 being the lowest, as I expected. The upper quartile 92-116 from level 3-5 which again shows that the level 5 having the highest mark and level 3 being the lowest. This proves my hypothesis and shows that the level 5 students have a greater IQ range.
Form my results I have discovered that the lowest levels in levels 3-5 go from 78 -101 this proves my hypotheses to be correct as there is a correlation between the steady increase in IQ and level.
Also from my results I have discovered that the highest levels in levels 3-5 go from 104 -124 this also proves my hypotheses to be correct as there is a correlation between the steady increase in IQ and level.
Conclusion
Throughout the work that I have shown I feel that I have proven my hypothesis to be correct. I have shown this by using a number of different techniques and skills. I have used box and whisker diagrams to compare my results and I think that I have shown my results give a good readings. I have found that the people who achieved level 3 at key stage 2 have a lower IQ than people who achieved a higher level at key stage 2.