The average of 33 numbers is 74. The average of the first 17 numbers is 72.8 and that of the last 17 numbers is 77.2. If the 17^th number is excluded, then what will be the average of the remaining numbers (correct to one decimal place)?

A. 72.9

B. 73.4

C. 71.6

D. 70.8

Answer: Option C

Solution(By Examveda Team)

Average of 33 members = 74
Sum of numbers = 33 × 74 = 2442
Sum of the first 17 numbers = 1237.6
Sum of the last 17 numbers = 17 × 77.2 = 1312.4
17^th number = 1237.6 + 1312.4 - 2442 = 108
Average of 32 numbers $$ = \frac{{2442 - 108}}{{32}} = 72.9$$