Question 15
The positive integers from $1$ to $45$ inclusive are divided into $5$ groups of $9$ numbers each. What is the largest possible average of the medians of these $5$ groups?
Note: The median of a finite set of numbers is the middle number when the numbers are listed from smallest to greatest or vice versa.
Note: The median of a finite set of numbers is the middle number when the numbers are listed from smallest to greatest or vice versa.