AMC 10A 2019 Problem 12

Melanie computes the mean \mu, the median M, and modes of the 365 values that are the dates in the months of 2019 . Thus her data consist of 121 \mathrm{~s}, 122 \mathrm{~s}, \ldots, 1228 \mathrm{~s}, 1129 \mathrm{~s}, 1130 \mathrm{~s}, and 731 \mathrm{~s}. Let d be the median of the modes. Which of the following statements is true?

Answer Choices
A. \mu<d<M
B. M<d<\mu
C. d=M=\mu
D. d<M<\mu
E. d<\mu<M