If you were to select a person at random, what is the probability that they would have an IQ score of 130 or more, assuming the scores are distributed Normally

If you look at the scores on most IQ tests, they have a mean of 100 and a standard deviation of 15. For class discussion:

(a) Why do you think this is so?

i. This is the natural state of human intelligence.

ii. The tests are engineered to make it so for the convenience of comparison and analysis—questions are modified, added, and subtracted over time, so that the mean score stays at 100 and the standard deviation at 15.

(b) Is “IQ” the same thing as “IQ score?” If not, what is the difference? Homework:

(c) Convert an IQ score of 120 to a z-score.

(d) If you were to select a person at random, what is the probability that they would have an IQ score of 130 or more, assuming the scores are distributed Normally?

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