The average of the marks of 25 students in a class, in an examination was calculated to be 19. Later, the teacher realized that the marks of two students were taken as 18 and 19 respectively, instead of 14 and 15. Find the new actual average marks of the class.

A. 17.43

B. 16.56

C. 18.68

D. 17.65

Answer: Option C

Solution(By Examveda Team)

Total marks = 25 × 19 = 475
Error = (18 + 19) - (14 + 15)
= 37 - 29
= 8
Actual marks = 475 - 8 = 467
Average marks $$ = \frac{{467}}{{25}} = 18.68$$