The table shows the number of U.S. workers 25 years and older in terms

Official Explanation

Statement 1: You do not need to re-sort the table for any of the statements in this set. Regarding the first statement, the figures are as follows: The number of workers with a bachelor’s degree or more in 2010 was 23,096. The number of workers in the “Less than 9th grade” category was 1,417, in the “9th to 12th grade, nongraduate” category it was 2,615, and in the “High school graduate” category it was 16,165. These figures add up to 20,197, but you could also see that their sum would be less than 23,000 without calculating precisely. In any event, the statement is false.

Answer: No

Statement 2: Four of the six groups had a lower median earnings figure in 2010 than in 2006. Therefore, the probability that a group’s median earnings decreased between 2006 and 2010 is 67%, which is lower than 70%.

Answer: Yes

Statement 3: You do not need to calculate the percentage change for each group. Rather, calculate this change for the “High school graduate” group and then try to find one other group that may have had a greater change. In 2006, 17,751 earners were in the “High school graduate” category; in 2010, that figure was 16,165. The percentage change was:

\(\frac{17751-16165}{17751}\)(100%)=8.93%

The “9th to 12th grade” group seems as though it may have experienced a greater percentage change between 2006 and 2010: the numerical change is certainly smaller than that for high school graduates, but the initial number is considerably smaller. For “9th to 12th graders”, the percentage change was:

\(\frac{3219-2615}{3219}\)(100%)=18.76%

This is a significantly greater percentage change, so the statement is false.

Answer: No