According to the National Center for Health Statistics, the mean height of an American male is 69.3 inches and the mean height of an American female is 63.8 inches. The standard deviation for both genders is 2.7 inches.

According to Chebyshev's Theorem 75% of the data for your gender lies between what two heights?

If height is assumed to be normal, what percentage of the data lies between those same two heights?

Look in the Guided Worksheets on page 49 for more information.

This was on the guided worksheet:

Important results for any, including non-normal, distributions: Chebyschev's Theorem:For any data set at least 75% of the data values are within 2 standard deviations of the mean and at least 89% are within 3 SD's. Range rule of thumb:For any data set the standard deviation is approximately onefourth of the range (largest data value minus the smallest). Central Limit Theorem:For any data set the distribution of means from many samples (more than 30) of the same size is approximately normal.The mean of this distribution is the true mean of the population, , and the standard deviation is the population SD divided by the square root of the sample size, SE = n , which is the standard error of the mean introduced in Chapter 3