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2022 AMC 10A Question 8

AMC10 · 2022 AMC 10A

Question 8

A data set consists of $6$ (not distinct) positive integers: $1,$ $7,$ $5,$ $2,$ $5,$ and $X.$ The average (arithmetic mean) of the $6$ numbers equals a value in the data set. What is the sum of all possible values of $X?$
  1. $10$
  2. $26$
  3. $32$
  4. $36$
  5. $40$