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1.
Which one of the following numbers can be remove from the set S = { 0, 2, 4, 5, 9} without changing the average of the elements of the set S ?
- A. 2
- B. 2
- C. 2
- D. 2
Answer: Option D
Explanation:
he average of the elements in the original set S is: (0 + 2 + 4 + 5 + 9)/5 = 20/5 = 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, (0 + 2 + 5 + 9)/4 = 16/4 = 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, (0 + 2 + 5 + 9)/4 = 16/4 = 4
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