Suppose that data for 57 randomly selected female high school athletes was collected on the maximum number of pounds they were able to bench press. The data are roughly bell shaped, with and x-bar = 83.4 and s = 13.3. Use the empirical rule to describe the distribution.

Empirical rule states that for a normal distribution, 68% falls within one standard deviation from the mean, 95% falls within two standard deviation from the mean and 99.7% falls within three standard deviation from the mean.

Given that mean = 83.4, standard deviation = 13.3, hence:

68% falls within 83.4 ± 13.3 = (70.1, 96.7)

95% falls within 83.4 ± 2 * 13.3 = (56.8, 110)

99.7% falls within 83.4 ± 3 * 13.3 = (43.5, 123.3)

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Suppose that data for 57 randomly selected female high school athletes was collected on the maximum number of pounds they were able to bench press. The data are roughly bell​ shaped, with and x-bar = 83.4 and s = 13.3. Use the empirical rule to describe the distribution.

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Empirical rule

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Suppose that data for 57 randomly selected female high school athletes was collected on the maximum number of pounds they were able to bench press. The data are roughly bell shaped, with and x-bar = 83.4 and s = 13.3. Use the empirical rule to describe the distribution.