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The mean of a normally distributed data set is 12, and the standard deviation is 2.

___% of the data points lies between 8 and 16.

Find the percentage

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  1. 8 is 2 std below the mean
    16 is 4 std above the mean

    P(Z>4) = .9772
    P(Z>8) = .0227
    P(4<Z<8) = .9772-.0228 = .9545

    You can play around with this stuff at

    http://davidmlane.com/hyperstat/z_table.html

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