16
QuizMultiple Choice

Range and Interquartile Range

Question 16 • Concepts in Probability and Statistics A

Eight car dealerships reported the number of cars they sold last month.Car DealershipNumber of Cars SoldGMC84Chevrolet81Nissan92Toyota92Ford 95Honda94Hyundai80Acura72What is the interquartile range of this set of data?

Answer
A
5
B
7.5
C
12.5
D
23

Explanation

Arrange the sales in order: 72, 80, 81, 84, 92, 92, 94, 95. The lower half has a median of (80 + 81) ÷ 2 = 80.5, and the upper half has a median of (92 + 94) ÷ 2 = 93. The interquartile range is Q3 − Q1 = 93 − 80.5 = 12.5, so the correct choice is 12.5.

AI-written and checked against the verified answer.

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