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13 August, 08:15

IQ scores are standardized to produce a normal distribution with a mean of µ = 100 and a standard deviation of σ = 15. Find the proportion of the population in the following IQ category: Genius or near genius: IQ greater than 140.

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  1. 13 August, 08:39
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    First let's note * the given values:

    Ζ = Χ - μ / σ

    μ = 100;

    σ = 15

    Converting z score to a decimal P using the percentage-finding method you want.

    a. Genius or near genius: IQ over 140

    z > 40 / 15 = 2.6667 P (z > 2.6667) =.0038 3.8% of whole the population
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