Empirical rule

The empirical rule says that in a normal distribution, about 68, 95, and 99.7 percent of values fall within 1, 2, and 3 standard deviations of the mean.

The empirical rule, also called the 68-95-99.7 rule, describes how data cluster in a normal distribution. About 68 percent of values fall within 1 standard deviation of the mean, about 95 percent within 2, and about 99.7 percent within 3. For example, if adult heights are normal with mean 68 inches and standard deviation 3 inches, about 95 percent fall between 682(3)=6268 - 2(3) = 62 and 68+2(3)=7468 + 2(3) = 74 inches. It gives quick estimates without needing a z-table.

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