The average weight of 15 persons is increased by 1.2 kg when one of them whose weight is 51 kg is replaced by a new man. The weight of the new man is:
Show answer & explanation
Correct answer: A
Explanation
The correct answer is Option 1 i.e. 69 kg.
We know that,
Average = Sum of observations/Total number of observations
Now, according to the question
Total increase in weight = 15 × 1.2 = 18 kg
This increment of weight is because of the replacement of a person of 51 kg with a new person
This implies that the new person weights 18 kg more than the person whose weight is 51 kg
The weight of a new person = 51 + 18 = 69 kg