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General

Easy

Question

# The mean score of 8 players in a basketball game was 14.5 points. If the highest individual score is removed, the mean score of the remaining 7 players becomes 12 points. What was the highest score?

- 20
- 24
- 32
- 36

## The correct answer is: 32

### Mean score of 8 players = 14.5

then total of all 8 scores is

14.5 ×8 = 116.

Mean of 7 scores = 12,

then the total of all 7 scores is

12 × 7 = 84.

Since the set of 7 scores was made by removing the highest score of the set of 8 scores, then the difference between the total of all 8 scores and the total of all 7 scores is equal to the removed score:

116 − 84 = 32

Therefore, the highest score is 32

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