The formula to calculate the empirical rule is:
68% of data within 1 standard deviation
95% of data within 2 standard deviations
99.7% of data within 3 standard deviations
The Empirical Rule, also known as the 68-95-99.7 rule, is a statistical concept used to understand data distribution in a bell-shaped curve, specifically for a normal distribution. This rule states that for a normal distribution, approximately 68% of the data falls within one standard deviation of the mean, about 95% falls within two standard deviations, and almost 99.7% falls within three standard deviations.
Let's assume the following values:
Using the empirical rule:
68% of data within 1 standard deviation: [85, 115]
95% of data within 2 standard deviations: [70, 130]
99.7% of data within 3 standard deviations: [55, 145]
Let's assume the following values:
Using the empirical rule:
68% of data within 1 standard deviation: [40, 60]
95% of data within 2 standard deviations: [30, 70]
99.7% of data within 3 standard deviations: [20, 80]