Scores of an IQ test have a​ bell-shaped distribution with a mean of 100 and a standard deviation of 14. ​What percentage of people has an I

Question

Scores of an IQ test have a​ bell-shaped distribution with a mean of 100 and a standard deviation of 14. ​What percentage of people has an IQ score greater than ​114?

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Gerda 1 month 2021-08-12T07:47:34+00:00 1 Answers 1 views 0

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    2021-08-12T07:49:31+00:00

    Answer:

    15.87%

    Step-by-step explanation:

    We start with getting the z score

    Mathematically , we have this as;

    z-score = (x-mean)/SD

    where x = 114

    z-score = (114-100)/14 = 14/14 = 1

    So we want to calculate the probability values that are greater than 1

    We can use the standard normal distribution table

    so we have P(z> 1) = 0.15866

    in percentage, we multiply by 100 and that gives 15.866 which is 15.87 people

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