2.114 Income statistics According to the U.S. Census Bureau, Current Population Survey, 2015 Annual Social and Economic Supplement, the mean income for males is

$47,836.10 with a standard deviation of $58,353.55 and the mean income for females is $28,466 with a standard deviation of $36,961.10.

a. Is it appropriate to use the empirical rule for male incomes? Why?

b. Compare the center and variability of the income distributions for females and males.

c. Which income is relatively higher—a male’s income of $55,000 or a female’s income of $45,000?