The average weight of 15 athletes and three trainers is 60 kg. When four more athletes with an average weight of 63 kg are included in the group, what is the average weight (in kg, rounded off to the nearest integer) of the group?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is Option 1 i.e. 61.
We know that,
Average = Sum of observations/Number of observations
Now,
The sum of the weights of 15 athletes and three trainers = 18 × 60 = 1080 kg
The sum of the weights of new athletes = 4 × 63 = 252 kg
The total weight of the 19 athletes and three trainers = 1080 + 252 = 1332
The average weight of these athletes and trainers = 1332/22 = 60.5454 = 61 kg