Percent within Normal Distribution Standard Deviations (68 - 95 -99.7 Rule)

The 68 - 95 -99.7 Rule (Empirical Rule) lets us know approximately what percent of the normal distribution exists between the first, second, and third stand deviation of the mean, respectively.

Combining this information with the fact that the normal distribution is symmetric about the mean, we can calculate the percent of the distribution that falls between each standard deviation. This video reminds you how to come up with these percentages on the fly if all you can remember is the 68 - 95 -99.7 Rule (Empirical Rule).

Some images made using Geogebra.

0:00 Introduction
0:25 Percent between first standard deviation of the mean
0:57 Percent between second standard deviation of the mean
1:35 Percent between third standard deviation of the mean
2:01 Percent in tails to infinities

#standarddeviation
#normaldistribution
#joecmath
#statistics

[cynthiapadget]

Thank you for your kind voice and clear explanation. Well done!