The average of 12 numbers is 15, and the average of the first four numbers is 13. What is the average of the remaining numbers?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is Option 1 i.e. 16.
The average of 12 numbers is 15, so the sum of these 12 numbers is:
Sum = Average × Number of Numbers
⇒ 15 × 12 = 180
The average of the first four numbers is 13, so the sum of these four numbers is:
Sum of first four numbers = 13 × 4 = 52
Now,
The sum of the remaining eight numbers = Sum of all 12 numbers - Sum of first four numbers
Sum of remaining eight numbers = 180 - 52 = 128
The average of the remaining eight numbers
Average of remaining eight numbers = 128 ÷ 8 = 16
Therefore,
The average of the remaining eight numbers is 16