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2014 AMC 10B Question 18

AMC10 · 2014 AMC 10B

Question 18

A list of $11$ positive integers has a mean of $10,$ a median of $9,$ and a unique mode of $8.$ What is the largest possible value of an integer in the list?
  1. $ 24 $
  2. $ 30 $
  3. $ 31 $
  4. $ 33 $
  5. $ 35 $