Multiple choice

The average of 27 numbers is zero. Out of them, how many may be greater than zero, at the most?

  1. 0

  2. 15

  3. 26

  4. 20
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

If the average of 27 numbers is 0, their sum is 0. To maximize the number of positive values, we can have 26 positive numbers (e.g., 26 ones) and one negative number (-26).

AI explanation

By the definition of an average, the sum of all 27 numbers must be zero. To maximize the count of positive numbers, we assume the remaining numbers are as negative as possible, meaning just one number accounts for the entire negative sum. Therefore, at most 26 numbers can be greater than zero.

Keep practicing — related questions