Averages
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Q.

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

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Solution:
Option(C) is correct

The average of the elements in the original set $S$ is:

\(\dfrac{0+2+4+5+9}{5}=4\)

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:

\(\dfrac{0+2+5+9}{4}=4\)


(1) Comment(s)


Agha
 ()

What happens when the average is not equal to any element?