AMC 10 Step by Step
2019 AMC 10AProblem 12P11-15~4 minPrint

Melanie computes the mean μ\mu , the median MM , and the modes of the 365365 values that are the dates in the months of 20192019 . Thus her data consists of 1212 1s1\text{s} , 1212 2s2\text{s} , . . . , 1212 28s28\text{s} , 1111 29s29\text{s} , 1111 30s30\text{s} , and 77 31s31\text{s} . Let dd be the median of the modes. Which of the following statements is true?

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Problem © Mathematical Association of America (MAA), American Mathematics Competitions. Reproduced for non-commercial educational use. Solution and commentary are original to this site.