As an introduction to probability, a student is asked to roll a fair, six-sided number cube seven times. The results of those seven rolls are shown. 1 , 4 , 4 , 4 , 4 , 6 , 5 What is the IQR of the data?

The data are already in order: 1, 4, 4, 4, 4, 5, 6. The median is 4, so the lower half is 1, 4, 4 and the upper half is 4, 5, 6. Their medians are Q1 = 4 and Q3 = 5, so the IQR is 5 − 4 = 1. The correct choice is B, 1.

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