Question

A teacher gives a test to a class of 20 student. Is it possible that 90% of the class scores above average? Give examples of test scores for which this is the case. If not, explain why not?

Answer 1

Of course it's possible. If 18 students get 100%, they all score above the average, which is less than 100.

Answer 2

Consider also negative scores, so if the two students achieves -100%, then everyone else only needs to achieve at least 2% to fit the conditions.

Answer 3

890