Estimating Percentages using the Empirical Rule

This video tutorial explains how to estimate the percentage of a population within a certain range using the empirical rule. It covers the characteristics of a normal distribution, the concept of standard deviation, and how to apply the empirical rule to calculate data ranges. The empirical rule, also known as the 68-95-99.7 rule, is used to determine the percentage of data within one, two, and three standard deviations from the mean. The tutorial uses the example of adult American female heights to illustrate these concepts.

What is a normal distribution and how is it characterized?

Explain the significance of standard deviation in a normal distribution.

What are the implications of the empirical rule for understanding adult female heights in the U.S.?

How do you calculate the range of heights that fall within two standard deviations for adult American females?

What percentage of data falls within three standard deviations of the mean according to the empirical rule?

What does the empirical rule state about the distribution of data within one standard deviation of the mean?

Describe how the empirical rule applies to populations that are not normally distributed.