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11 July, 11:28

The percentage of data values that must be within one, two, and three standard deviations of the mean for data having a bell-shaped distribution can be determined using a. The empirical rule. b. A five-number summary. c. Percentiles. d. Chebyshev's theorem.

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  1. 11 July, 14:26
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    a. The empirical rule.

    Step-by-step explanation:

    The Empirical Rule states that, for a normally distributed (bell-shaped) 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.

    So the correct answer is:

    a. The empirical rule.
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