The Empirical Rule
Add numbers sampled from a normal distribution with the given mean and standard deviation. You can add 1, 10, or 100 at a time. Hit the Reset button to start over.
- Add in some values. What do you notice about the sample mean compared to the given mean?
- What do you notice about the percentage of values within one standard deviation of the mean? Within two standard deviations? More than two standard deviations? (The numbers in green at the bottom of the graph may help.)
- How do your answers change if you change the mean or standard deviation? (Just type the value you want in the box!)