Correct Answer - Option 3 : 50.2
GIVEN:
The average of twenty-five numbers is 54 and The average of the first 13 numbers and that of the last 13 numbers is 52.8 and 62.2
FORMULA USED:
Average = sum of the observation/Number of the observation
CALCULATION:
Average = sum of the observation/Number of the observation
⇒ Sum of the 25 numbers = 54 × 25 = 1350
⇒ Sum of the first 13 numbers = 13 × 52.8 = 686.4
⇒ Sum of the last 13 numbers = 13 × 62.2 = 808.6
⇒ 13th number = (Sum of the first 13 numbers + Sum of the last 13 numbers) - (Sum of the 25 numbers)
⇒ (686.4 + 808.6) - (1350)
⇒ 1495 - 1350 = 145
⇒ Sum of the remaining 24 numbers = (1350 - 145) =1205
⇒ Average of the remaining 24 numbers = 1205/24 = 50.2
∴The average of the remaining 24 numbers is 50.2