Which one of the following numbers can be removed from the set S = {0, 2, 4, 5, 9} without changing the average of set S?
A. 0
B. 2
C. 4
D. 5
Answer: Option C
Solution(By Examveda Team)
The average of the elements in the original set S is:$$\eqalign{ & \frac{{0 + 2 + 4 + 5 + 9}}{5} \cr & = \frac{{20}}{5} \cr & = 4 \cr} $$ If we remove an element that equals the average, then the average of the new set will remain unchanged. The new set after removing 4 is {0, 2, 5, 9}. The average of the elements is, $$\eqalign{ & \frac{{0 + 2 + 5 + 9}}{4} \cr & = \frac{{16}}{4} \cr & = 4 \cr} $$
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