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In: Statistics and Probability

What does the empirical rule tell us about the spread of normalpopulations?

What does the empirical rule tell us about the spread of normal populations?

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Expert Solution

The empirical rule is the statistical rule stating that for a normal distribution, almost all data will fall within three standard deviations of the mean. Broken down, the empirical rule shows that 68% will fall within the first standard deviation, 95% within the first two standard deviations, and 99.7% will fall within the first three standard deviations of the distribution's average.
For this reason, it is often even called the 68-95-99.7 rule. This can be seen in the below figure :

orchestra answered 2 years ago
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