The average of 20 numbers is zero of them at the most, how many may be greater than zero?
- 1
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- 19
- 20
Explanation
If the average of 20 numbers is zero, their total sum is zero.
To maximize the number of values greater than zero,
→ assume only one value is negative,
→ and the sum of the 19 positive numbers is exactly cancelled by that one negative number.
So, at most 19 numbers can be greater than zero.
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