MathDB
Median #7 Strikes Back

Source: 2019 AMC 12B #7

February 14, 2019
2019 AMC 12BAMCAMC 12AMC 12 B2019 AMC 10BAMC 10AMC 10 B

Problem Statement

What is the sum of all real numbers xx for which the median of the numbers 4,6,8,17,4,6,8,17, and xx is equal to the mean of those five numbers?
<spanclass=′latex−bold′>(A)</span>−5<spanclass=′latex−bold′>(B)</span>0<spanclass=′latex−bold′>(C)</span>5<spanclass=′latex−bold′>(D)</span>154<spanclass=′latex−bold′>(E)</span>354<span class='latex-bold'>(A) </span> -5 \qquad<span class='latex-bold'>(B) </span> 0 \qquad<span class='latex-bold'>(C) </span> 5 \qquad<span class='latex-bold'>(D) </span> \frac{15}{4} \qquad<span class='latex-bold'>(E) </span> \frac{35}{4}
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