A class with 2N students took a quiz, on which the possible scores were
0, 1, . . . , 10. Each score appeared at least once.
The average score for this class was exactly 7.4.

Show that the class can be divided into two groups of N members each, such that that the average score for each group was exactly 7.4.

Here is a way it could work for a group of 30 students and a subgroup of 15 students:

Edited on February 24, 2024, 11:50 am

Posted by Larry on 2024-02-24 11:49:10