The Empirical Rule Calculator is an online tool that enables quick & accurate calculations based on the empirical rule, making your calculations simple.

The Empirical Rule, also known as the 68-95-99.7 rule, states that for a normal distribution:

- Approximately 68% of the data falls within one standard deviation (╧â) of the mean (╬╝).
- Approximately 95% of the data falls within two standard deviations (2╧â) of the mean.
- Approximately 99.7% of the data falls within three standard deviations (3╧â) of the mean.

To use the Empirical Rule Calculator, input the mean (╬╝) and standard deviation (╧â) of your data set. The calculator will then compute the ranges for 68%, 95%, and 99.7% of the data based on these inputs.

input values are required for the calculator:

- The mean (╬╝) of your data set.
- The standard deviation (╧â) of your data set.

The standard deviation (╧â) measures the amount of variation or dispersion in a set of values. A standard deviation of 0 would imply that all data points are identical, which is not useful for statistical analysis.

The Empirical Rule specifically applies to data that follows a normal distribution. If your data is not normally distributed, the results from this calculator may not be accurate.

The calculator provides the ranges within which approximately 68%, 95%, and 99.7% of the data fall. For example, if the mean is 50 and the standard deviation is 5, the 68% range will be from 45 to 55, the 95% range will be from 40 to 60, and the 99.7% range will be from 35 to 65.