The Normal Distribution

AP Statistics· difficulty 3/5

IQ scores are approximately N(100, 15).

N(100, 15) 55 85 100 115 145

Approximately what percent of scores lie between 70 and 130?

  • A

    95%

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  • B

    50%

  • C

    99.7%

  • D

    68%

Explanation

70 = μ − 2σ and 130 = μ + 2σ. About 95% of values lie within 2 SD of the mean.

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