Empirical Rule Calculator

Empirical or 68-95-99.7 Rule Calculation

Enter all the numbers separated by comma[E.g: 13,23,12,44,55]

Total Numbers:

Mean (Average):

Standard Deviation:

Empirical Rule

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The empirical rule, also known as the 68-95-99.7 rule, is a statistical rule that describes how data is distributed in a normal distribution. It states that:

• Approximately 68% of the data falls within one standard deviation of the mean.
• Approximately 95% of the data falls within two standard deviations of the mean.
• Approximately 99.7% of the data falls within three standard deviations of the mean.

To use an empirical rule calculator, you need to know the mean and standard deviation of your data. Here are the steps to use the calculator:

1. Input the mean of your data in the calculator.
2. Input the standard deviation of your data in the calculator.
3. Select the number of standard deviations from the mean that you want to calculate for (1, 2, or 3).
4. The calculator will display the range of values that fall within the selected number of standard deviations from the mean, according to the empirical rule.

Here's an example:

Mean: 50 Standard deviation: 10 Number of standard deviations: 2

The calculator will display that approximately 95% of the data falls within the range of 30 and 70 (which is two standard deviations from the mean).