PSAT Math Multiple-Choice Question 407: Answer and Explanation

Question: 407

Based on the results of this study, if a company sold 12,000 of the contoured sleep masks, about how many of the consumers should experience REM sleep using the mask, assuming the participants in the study were a good representative sample?

• A. 4,457
• B. 5,714
• C. 7,488
• D. 9,360

Correct Answer: D

Explanation:

D

Difficulty: Easy

Category: Surveys and Data Samples

Getting to the Answer: The question asks about consumers who purchase a contoured mask, so focus on that column in the table. Assuming the participants in the study were a good representative sample, 78 out of 100, or 78%, of the 12,000 consumers should experience REM sleep. Multiply 0.78 × 12,000 to arrive at 9,360, which is (D).