Empirical Rule

Empirical Rule

The Empirical Rule is also known as the 68-95-99.7 rule. This rule is used to state the distribution of data that can fall under three different standard deviations. If you break the rule down, the chance of something occuring can happen in the first standard deviation of 68%, then within two standard deviations there is a 95% chance, and lastly, within three standard deviations there is a 99.7% chance of something occuring.

An example of the using the Empirical Rule is test scores from our stats class. You can find the mean of these test scores and find the standard deviation of the test scores. Using this data, you can find the percentage of certain scores scored on the test. For example, you can find the percentage of students that scored between a 75% to an 100% on the test.

The graph would be a bell shaped curve and would look something like this...