Answer :
Final answer:
The average of the remaining numbers is 51.6. Thus none of the option is correct.
Explanation:
The average of the remaining 5 numbers can be calculated by subtracting the sum of the averages of the first 12 numbers and the last 6 numbers from the sum of the averages of all 23 numbers, then dividing the result by the number of remaining numbers. Mathematically, it can be expressed as:
Average of remaining 5 numbers = (Average of all 23 numbers×23−Average of first 12 numbers×12−Average of last 6 numbers×6) / 5
= (45×23−40.5×12−48.5×6)/ 5
= (35−486−291)/5
=258/5
= 51.6
Hence, the average of the remaining numbers is 51.6. However, the options provided does not contain the correct answer. Thus none of the option is correct.