A statistics student gave a survey to students which asked how many first cousins they have. The data from the first nine responses are shown. 6 , 2 , 7 , 8 , 8 , 8 , 5 , 10 , 10 What is the IQR of the data?

First, order the data: 2, 5, 6, 7, 8, 8, 8, 10, 10. The middle value is 8, so the lower half is 2, 5, 6, 7 and the upper half is 8, 8, 10, 10. Their medians are Q1 = 5.5 and Q3 = 9, so the IQR is 9 − 5.5 = 3.5 first cousins.

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