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2014 AMC 12B Question 11

AMC12 · 2014 AMC 12B

Question 11

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. $35$