Question

In a class of 25 students, the average score is 83. eight students in the class each received a maximum score of 100, and five students each received a score of 60. what is the average score of the remaining students?

Answer 1

8 students scored 100, so net score = 8*100 = 800

5 students received 60, so net score = 5*60 = 300

Remaining number of student s = 25-5-8 = 12 students

Let the score of each of these students be x, so the net score  = 12*x = 12x

So total score =  800 + 300 + 12 x

Average score = (800+300+12x)/25

Average score = 83

Therefore, we equate both the average scores

(800+300+12x)/25 = 83

1100 +12x = 25*83 = 2,075

12x = 2,075-1,100

12x = 975

x = 81.25

Average score of the remaining students = 81.25