Question : The average weight of 100 students is 32 kg. The average weight of the first 49 students is 30 kg and that of the last 50 students is 34 kg. What is the weight (in kg) of the 50th student?
Option 1: 25
Option 2: 30
Option 3: 32
Option 4: 33
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Correct Answer: 30
Solution :
The average weight of 100 students is 32 kg.
So, the total weight of the 100 students is = (32 × 100) = 3200 kg
Now, the average weight of the first 49 students is 30 kg and that of the last 50 students is 34 kg.
So, the total weight of the first 49 students is = (49 × 30) = 1470 kg,
and the total weight of the last 50 students is = (34 × 50) = 1700 kg
$\therefore$ The weight of the 50
th
student is = 3200 – (1470 + 1700) = 30 kg
Hence, the correct answer is 30.
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