The first 5 students turned in a total of 2 * 5 = <<2*5=10>>10 pages.
The next 5 students turned in a total of 3 * 5 = <<3*5=15>>15 pages.
The last 5 students turned in a total of 1 * 5 = <<1*5=5>>5 pages.
In total there are 30 pages turned in by the students.
For the 15 students, the average page count per essay is 30/15 = <<30/15=2>>2 pages.
#### 2