The Empirical Rule for Normal Distributions

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This Demonstration illustrates the "empirical rule" for normal distributions: approximately 68% of the area under the curve falls within one standard deviation of the mean, approximately 95% within two standard deviations, and approximately 99.7% within three standard deviations. Various display options are available (see the Snapshots and the Details section).

Contributed by: Marc Brodie (July 2014)
(Wheeling Jesuit University)
Open content licensed under CC BY-NC-SA


Snapshots


Details

The region under the curve is interactive. Click any region to shade or unshade it and include or exclude its area from the total.



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