Statistics And Sets Problems

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

A. Multiplying each of the numbers in the set by 6
B. Adding 10 to each of the numbers in the set
C. Subtracting 3.5 from each of the numbers in the set
D. Adding 8.2 to the 2 largest numbers and subtracting 8.2 from the 3 smallest numbers in the set
E. Adding 5 to the 2 largest and to the 2 smallest numbers in the set

The OA is E

Source: Princeton Review

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