In a set of five consecutive integers, which of the following must change the average of the

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In a set of five consecutive integers, which of the following must change the average of the set without changing its median?

  1. Multiplying each of the numbers in the set by 6.
  2. Adding 10 to each of the numbers in the set.
  3. Subtracting 3.5 from each of the numbers in the set.
  4. Adding 8.2 to the 2 largest numbers and subtracting 8.2 from the 3 smallest numbers in the set.
  5. Adding .5 to the 2 largest and to the 2 smallest numbers in the set.
  6. Dividing each of the numbers in the set by 2.
  7. It’s not possible to change the average of the set without changing its median.
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