SAT Math Multiple Choice Question 495: Answer and Explanation

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Question: 495

15. Each month, the Bureau of Labor Statistics conducts a survey called the Current Population Survey (CPS) to measure unemployment in the United States. Across the country, about 60,000 households are included in the survey sample. These households are grouped by geographic region. A summary of the January 2014 survey results for male respondents in one geographic region is shown in the table below.

Employed Unemployed Not in the Labor Force Total
16 to 19 8 5 10 23
20 to 24 26 7 23 56
25 to 34 142 11 28 157
35 to 44 144 8 32 164
45 to 54 66 6 26 98
Over 54 65 7 36 152
Total 451 44 155 650

If one unemployed man from this sample is chosen at random for a follow-up survey, what is the probability that he will be between the ages of 45 and 54?

  • A. 6.0%
  • B. 13.6%
  • C. 15.1%
  • D. 44.9%

Correct Answer: B

Explanation:

B

Difficulty: Medium

Category: Problem Solving and Data Analysis / Statistics and Probability

Strategic Advice: The follow-up survey targets only those respondents who said they were unemployed, so focus on that column in the table.

Getting to the Answer: There were 6 respondents out of 44 unemployed males who were between the ages of 45 and 54, so the probability is , or about 13.6%.

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