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.

Question

Mathematics

Abril Pruitt

9 July, 00:43

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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Answers (1)

Know the Answer?

Clare Good · Answer 1

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.