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1. Which one of the following nunbers can be removed from the set S = {0, 2, 4 ,5 9} without changing the average of set S?
- A. 0
- B. 0
- C. 0
- D. 0
Answer: Option C
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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