14
QuizMultiple Choice

Range and Interquartile Range

Question 14 • Concepts in Probability and Statistics A

What is the upper and lower quartile of this set of data? 15, 19, 20, 25, 31, 38, 41

Answer
A
lower quartile: 19upper quartile: 25
B
lower quartile: 25upper quartile: 38
C
lower quartile: 19upper quartile: 38
D
lower quartile: 15upper quartile: 41

Explanation

The data are already in order, and the middle value is 25. Excluding that median, the lower half is 15, 19, 20, whose middle value is 19; the upper half is 31, 38, 41, whose middle value is 38. Therefore, the lower quartile is 19 and the upper quartile is 38, matching choice C.

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