When 25 students took a quiz, the grades they earned ranged from 2 to 10. If exactly 22 of them passed, by earning a grade of 7 or higher, what is the highest possible average the class could have earned on the quiz?

Question

lalaly · Answer

22 with 10, 2 with 6 and one with 2 divided by 25(class size)
(22*10+2*6+2)/25
=9.36 is the highest possible average.

anonymous · Answer

Oh, why couldn't it be 22 with 10s, and 3 with 6s? Class average will be 9.52?

lalaly · Answer

because we need a range of 2 to 10 so at least one got a 2

anonymous · Answer

Ohh, I see! Thank you.