The Normal Distribution

AP Statistics· difficulty 2/5

Heights of women in a population are approximately normal with μ = 64 in and σ = 2.5 in.

Normal Curve μ−σ μ μ+σ

Approximately what percent of women have heights between 61.5 and 66.5 inches?

  • A

    50%

  • B

    99.7%

  • C

    68%

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  • D

    95%

Explanation

61.5 and 66.5 are exactly μ ± σ. By the empirical rule about 68% of values lie within 1 SD of the mean.

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