Scores of an IQ test have a​ bell-shaped distribution with a mean of 100100 and a standard deviation of 1414. Use the empirical rule to dete

Question

Scores of an IQ test have a​ bell-shaped distribution with a mean of 100100 and a standard deviation of 1414. Use the empirical rule to determine the following. ​(a) What percentage of people has an IQ score between 7272 and 128128​?

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Nevaeh 3 weeks 2022-01-03T11:12:19+00:00 1 Answer 0 views 0

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    2022-01-03T11:13:45+00:00

    Answer:

    95% of people have an IQ score between 72 and 128.

    Step-by-step explanation:

    The Empirical Rule states that, for a normally distributed random variable:

    68% of the measures are within 1 standard deviation of the mean.

    95% of the measures are within 2 standard deviation of the mean.

    99.7% of the measures are within 3 standard deviations of the mean.

    In this problem, we have that:

    Mean = 100

    Standard deviation = 14.

    ​(a) What percentage of people has an IQ score between 72 and 128​?

    72 = 100 – 2*14

    So 72 is two standard deviations below the mean.

    128 = 100 + 2*14

    So 128 is two standard deviations above the mean.

    By the Empirical Rule, 95% of people have an IQ score between 72 and 128.

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45:7+7-4:2-5:5*4+35:2 =? ( )