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The average weight of 11 players is 72 kg. If the coach's weight is excluded, the average decreases by 1 kg. What is the weight of the coach?

1. 81 kg
2. 82 kg
3. 83 kg
4. 84 kg

Correct answer: 82 kg

Solution

Total weight of 11 players and coach is not directly given, but the 11 players' average is 72 kg, so their total is \(11 \times 72 = 792\) kg. Excluding the coach leaves 10 players with average 71 kg, so their total is \(10 \times 71 = 710\) kg. Therefore, the coach's weight is \(792 - 710 = 82\) kg.

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