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2019 AMC 10A Problem 12

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2019 AMC 10A Problem 12AMC 10 Step by Step

Name: Date: September 13, 2026

Statistics & Data · difficulty 3 of 5 · about 4 min · position P11-15

Melanie computes the mean $\mu$ , the median $M$ , and the modes of the $365$ values that are the dates in the months of $2019$ . Thus her data consists of $12$ $1\text{s}$ , $12$ $2\text{s}$ , . . . , $12$ $28\text{s}$ , $11$ $29\text{s}$ , $11$ $30\text{s}$ , and $7$ $31\text{s}$ . Let $d$ be the median of the modes. Which of the following statements is true?

A)
$\mu < d < M$
B)
$M < d < \mu$
C)
$d = M =\mu$
D)
$d < M < \mu$
E)
$d < \mu < M$

2019 AMC 10A Problem 12

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