SAT Math Multiple Choice Question 432: Answer and Explanation

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Question: 432

12.

The bar graph shows the percent of the U.S. population that was unemployed as of January 1 on each of the years shown. A governmental agency wants to use the 5-year mean of the data to estimate how many people were unemployed in a certain geographic area between 2010 and 2014. If the total adult population of the area was 250,000, approximately how many adults were unemployed in that area during the indicated time period?

  • A. 16,950
  • B. 20,150
  • C. 20,950
  • D. 104,750

Correct Answer: C

Explanation:

C

Difficulty: Medium

Category: Problem Solving and Data Analysis / Statistics and Probability

Strategic Advice: The mean of a set of numbers is the same as the average, which is the sum of the numbers divided by the amount of numbers.

Getting to the Answer: Use the graph to find the sum of the unemployment rates over all 5 years: 9.8 + 9.2 + 8.3 + 8 + 6.6 = 41.9. Now, divide by the number of years to calculate the mean: 41.9 ÷ 5 = 8.38. Read the axis labels carefully. The unemployment rate is given as a percent, so write 8.38 as 0.0838. If there were 250,000 people in the geographic area, then approximately 250,000 × 0.0838 = 20,950 people were unemployed during the indicated time period.

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