How does the empirical rule help explain the ways in which the values in a set of numerical data cluster and distribute?

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Part 1

The empirical rule states that for population data from a symmetric mound-shaped distribution, approximately

95 %95%

99.7 %99.7%

50 %50%

68 %68%

25 %25%

75 %75%

of the values are within

1

standard deviation from the mean, approximately

68 %68%

50 %50%

95 %95%

25 %25%

99.7 %99.7%

75 %75%

of the values are within

2

standard deviation from the mean, and approximately

95 %95%

75 %75%

68 %68%

50 %50%

99.7 %99.7%

25 %25%

of the values are within

3

standard deviation from the mean.