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11 December, 10:15

A data set is normally distributed with a mean of 42 and a standard deviation of 9. What percent of the data values lie between 15 and 60?

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  1. 11 December, 10:42
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    97.59%.

    Step-by-step explanation:

    z-score for data value 15 = (15-42) / 9

    = - 3.

    z-score for data value (60 - 42) / 9

    = 2.

    Using the standard normal tables we get:

    = 0.4772 - ( - 0.4987)

    = 0.9759.
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