PSAT Math Multiple-Choice Question 392: Answer and Explanation

Question: 392

The bar graph above shows the number of convertibles made by several manufacturers with various fuel efficiency ratings. What is the mean fuel efficiency rating for these convertibles?

• A. 25
• B. 27
• C. 30
• D. 32

Correct Answer: B

Explanation:

B

Difficulty: Easy

Getting to the Answer: The mean of a set of numbers is the same as the average, which is the sum of the values divided by the number of values. Use the graph to find the sum of the fuel efficiency ratings and then calculate the mean. To save time, multiply the frequency in each category by the rating and then divide by the total number of convertibles: (6 × 15) + (18 × 25) + (9 × 35) + (2 × 45) = 945, and there are 6 + 18 + 9 + 2 = 35 total convertibles, so . Choice (B) is correct.