Calculate probabilities and data ranges for normal distributions using the 68-95-99.7 rule
Empirical Rule Results
About the Empirical Rule
What is the Empirical Rule?
The empirical rule, also known as the 68-95-99.7 rule, is a statistical rule which states that for a normal distribution:
- 68% of data falls within the first standard deviation from the mean
- 95% fall within two standard deviations
- 99.7% fall within three standard deviations
How to Use This Calculator
Simply enter the mean and standard deviation of your normally distributed dataset. You can also enter a specific data point to see where it falls in the distribution.
The calculator will automatically compute the ranges for each standard deviation and display them in an easy-to-understand format.
Important Note
The empirical rule only applies to data that is normally distributed (bell-shaped curve). If your data is skewed or has outliers, this rule may not be accurate.
Applications of the Empirical Rule
The empirical rule is widely used in statistics, quality control, and data analysis to quickly estimate probabilities and identify outliers in normally distributed datasets.
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