The average of 28 number is 52.5. The average of the first 12 numbers is 48.8 and that of the next 13 numbers is 45.8. If the other 3 numbers are excluded, then what is the average of the remaining numbers?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 47.24.
Total sum of all numbers = 28 × 52.5 = 1470
Sum of first 12 numbers = 12 × 48.8 = 585.6
Sum of next 13 numbers = 13 × 45.8 = 595.4
Sum of remaining 3 numbers = 1470 - (585.6 + 595.4) = 289
Numbers remaining after exclusion = 28 - 3 = 25
New sum = 585.6 + 595.4 = 1181
New average = 1181/25 = 47.24