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2019 AMC 12B Question 7

AMC12 · 2019 AMC 12B

Question 7

What is the sum of all real numbers $x$ for which the median of the numbers $4,$ $6,$ $8,$ $17,$ and $x$ is equal to the mean of those five numbers?
  1. $-5$
  2. $0$
  3. $5$
  4. $\dfrac{15}{4}$
  5. $\dfrac{35}{4}$