Discussion
The average weight of eleven students is 54 kg. If the average weight of the first six students is 55 kg and the average weight of the last six students is 52kg, then the weight of the sixth student is equal to:
Answer: B
The sixth student weighs 48 kg. All eleven weigh 11 × 54 = 594 kg. The first six weigh 6 × 55 = 330 kg and the last six weigh 6 × 52 = 312 kg. These groups overlap only at the sixth student, so \[ 330 + 312 - 594 = 48 \]
So the sixth student is 48 kg, not 49, 50 or 51.
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