A student takes ten exams during a semester and receives the following grades: 90, 85, 97, 76, 89, 58, 82, 102, 70, and 67. Find the five-number summary used in a boxplot.

Put the grades in order: 58, 67, 70, 76, 82, 85, 89, 90, 97, 102. The minimum and maximum are 58 and 102, and the median is (82 + 85) ÷ 2 = 83.5. The medians of the lower and upper halves are 70 and 90, respectively, so the five-number summary is 58, 70, 83.5, 90, 102 — choice a.

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