The figure below shows boxplots of the incomes of a large sample of people who h

Question

The figure below shows boxplots of the incomes of a large sample of people who have a high school diploma but no further education and another large group of people with a bachelor’s degree but no higher degree. The data come from a Census Bureau survey, so that they represent all people aged 25 to 64 in the United States. Because there are a few extremely high incomes, the boxplot leaves out the highest 5% in each group. Based on the plot, compare the distributions of income for these two levels of education.



Choose the correct statement from the list below.

A. The income distribution for bachelor's degree holders is generally lower than for high school graduates: the median for bachelor's is less than the third quartile for high school. B. The income distribution for bachelor's degree holders is generally higher than for high school graduates: the median for bachelor's is greater than the third quartile for high school. C. The income distribution for bachelor's degree holders is generally lower than for high school graduates: the median for bachelor's is greater than the third quartile for high school. D. None of the choices are correct. E. The income distribution for bachelor's degree holders is generally higher than for high school graduates: the median for bachelor's is less than the third quartile for high school. Exce 140 130 M 120 110 100 90 80 70 60 50 40 8 30 S 20 10 10 20 High school diploma TGT Figure 5.32 Boxplots comparing the incomes of full-time workers aged 25 to 64 years at two levels of education. The top 5% of incomes in each group are omitted. Bachelor's degree

Explanation / Answer

Solution: B.) The correct statement is the income distribution for bachelor's degree holders is generally higher than for high school graduates: the median for bachelor's is greater than the third quartile for high school.

Median for bachelor's = $45,000

Third quartile for high school = $40,000

We can also see that even the first quartile of Bachelor's degree holder is greater than the median of high school graduate's, so income distribution for bachelor's degree holders is generally higher than for high school graduates.

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