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2019 AMC 10B Question 13

AMC10 · 2019 AMC 10B

Question 13

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} $