Correct Answer - Option 3 : 63 kg
Given∶
The average weight of 5 sailors increased by 2 kg.
When one of the crew whose weight 53 kg is replaced by a new man.
Formula Used∶
Sum of the observation = Average × No. of observations
Calculation∶
The increase in the average of 50 sailors = 2 kg
Total weight increased = 2 × 5 = 10 kg
Since the sailor weighting 53 kg has been replaced.
Weight of the new man = 53 + 10 = 63 kg
∴ 63 kg is the weight of the new man.