![]() ![]() For non-normally distributed variables it follows the three-sigma rule.Īs shown below we can find that the boxplot is weak in describing symmetric observations. The standard deviation and mean are often used for symmetric distributions, and for normally distributed variables about 70% of observations will be within one standard deviation of the mean and about 95% will be within two standard deviations( 68–95–99.7 rule). ![]() A low standard deviation indicates that the values tend to be close to the mean (also called the expected value) of the set, while a high standard deviation indicates that the values are spread out over a wider range 1. ![]()
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