Standrd deviation
Chebyshev’s Inequality According to the U.S. Census Bureau, the mean of the commute time to work for a resident of Boston, Massachusetts, is 27.3 minutes. Assume that the standard deviation of the commute time is 8.1 minutes to answer the following:
What minimum percentage of commuters in Boston has a commute time within 2 standard deviations of the mean?
What minimum percentage of commuters in Boston has a commute time within 1.5 standard deviations of the mean? What are the commute times within 1.5 standard deviations of the mean?
What is the minimum percentage of commuters who have commute times between 3 minutes and 51.6 minutes?