A particular IQ test is standardized to a Normal model, with a mean of 100 and a

Question

A particular IQ test is standardized to a Normal model, with a mean of 100 and a standard deviation of 10. b) In what interval would you expect the central 99.7% of the IQ scores to be found? Using the 68-95-99.7 rule, the central 99.7% of the IQ scores are between and c) About what percent of people should have IQ scores above 120? Using the 68-95-99.7 rule, about % of people should have IQ scores above 120. d) About what percent of people should have IQ scores between 90 and 100? Using the 68-95-99.7 rule, about % of people should have IQ scores between 90 and 100. e) About what percent of people should have IQ scores above 110? Using the 68-95-99 7 rule, about 1% of people should have IQ scores above 110.

Explanation / Answer

a) Option B graph is correct

b) Using Empirical rule 99.7% of data lies between 100-3*10 to 100+3*10 . i.e

Between 70 and 130

c) By empirical rule 95% of data lies between 80 and 120

So, 2.5% of people should have IQ score above 120

d) 34% of people should have IQ score between 90 and 100

e) 16% of people should have IQ score above 110

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