Ten people reported the number of hours they worked last week. 17, 42, 40, 35, 24, 20, 30, 32, 25, 38 What is the median, lower quartile, upper quartile, and interquartile range of this set of data?

First, sort the hours: 17, 20, 24, 25, 30, 32, 35, 38, 40, 42. The median is the average of the two middle values, (30 + 32) ÷ 2 = 31. The medians of the lower and upper halves are 24 and 38, so the interquartile range is 38 − 24 = 14. This matches choice D: median 31, lower quartile 24, upper quartile 38, and interquartile range 14.

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