Our Empirical Rule Calculator can help you to determine if 68%, 95%, and 99.7% of your data fall within three key ranges.
The Empirical Rule, also known as the 68-95-99.7 rule, states that for a normal distribution:
To use the Empirical Rule Calculator, input the mean (μ) and standard deviation (σ) 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 standard deviation (σ) 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.