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Empirical Rule Calculator

Empirical or 68-95-99.7 Rule Calculation

Empirical Rule


An Empirical Rule Calculator is a tool used to apply the empirical rule, also known as the 68-95-99.7 rule, in statistics. This rule describes how data is distributed in a normal (bell-shaped) distribution. Specifically, it states that approximately:


- 68% of the data falls within one standard deviation of the mean.

- 95% falls within two standard deviations.

- 99.7% falls within three standard deviations.


The calculator helps users quickly determine the range of values that fall within these intervals, aiding in the analysis of data distributions and the assessment of probabilities in normal distributions. This tool is particularly useful for statisticians, data analysts, and researchers in interpreting and visualizing data spread and variability.

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