When applicable, the empirical rule provides the approximate percentage of observations that fall within A) 1, 2, or 3 standard deviations. B) 2, 3, or 4 standard deviations. C) k standard deviations for every k 1. D) 1 - 1/k² standard deviations for every k 1.

Question

When applicable, the empirical rule provides the approximate percentage of observations that fall within A) 1, 2, or 3 standard deviations. B) 2, 3, or 4 standard deviations. C) k standard deviations for every k > 1. D) 1 - 1/k² standard deviations for every k > 1.

Quizplus · Accepted Answer

The empirical rule states that for a normal distribution, approximately 68% of observations fall within 1 standard deviation of the mean, 95% fall within 2 standard deviations of the mean, and 99.7% fall within 3 standard deviations of the mean. Therefore, the best choice is A, which includes these percentages.

When Applicable, the Empirical Rule Provides the Approximate Percentage of Observations