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Comparison of IQ means of all years

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Analysis of the data, and checking the hypotheses

Comparison of IQ means of all years

Hypothesis 1- IQ levels increase from year to year.

Mean IQ:        for year 7 is (104.1+102.4)/2=103.25

                for year 9 is (101.4+109.5)/2=105.45

for year 11 is (99.8+101.8)/2=100.8

From the above, we can see that the mean IQ increases from year 7 to year 9, but then goes down in year 11. We can see the same pattern here as in the Pre-survey, where IQs of one or two pupils in year 11 are low, and that makes the mean for the whole group smaller. A bigger sample is required to check whether hypothesis 1 was correct.

Hypothesis 2- IQ levels

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Hypothesis 3- There will be a higher number of children with an IQ lower than the mean for their year group; in all years; however there will be some pupils with a high IQ which will increase the mean.

We can see from the Box and Whisker diagrams that in year 7 there are about the same number of children with IQs lower than the mean as children with IQs higher than the mean. In year 9, a bigger proportion of children have IQs higher than the mean IQ. In year 11, it is the other way round. That means hypothesis 3 is not necessarily correct.  

Comparison of left-handed and right-handed pupils’ SATs results

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Comparison of IQs and SATs results

Hypothesis 5- Generally, the higher the IQ, the higher the levels achieved; but the IQs are not indicators of what levels the pupils will achieve at their SATs.

Year 7

As in the Pre-survey, there seems to be a positive correlation between IQs and SATs results. It is, again, not very strong.

Year 9

We get the same picture as in the Pre-survey. The maths and science graphs follow the same trend as the year 7’s graphs, however the English graph shows that there was almost no correlation between the IQ and English SATs for year 9.

Year 11

The same tendency can be noticed in year 11’s scatter diagrams as in year 7’s.

Which means hypothesis 5 was correct.

...read more.

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