9
QuizMultiple Choice

Range and Interquartile Range — Quiz

Question 9 • Concepts in Probability and Statistics

What is the interquartile range of this set of data? 15, 19, 20, 25, 31, 38, 41

Answer
A
26
B
19
C
13
D
6

Explanation

The data are already in order, and the median is 25. Excluding the median, the lower half is 15, 19, 20, so Q1 = 19; the upper half is 31, 38, 41, so Q3 = 38. The interquartile range is Q3 − Q1 = 38 − 19 = 19, which is choice B.

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