The original question I posted on StackOverflow. I think it's more mathematically inclined so I posted it here again. In terms of math.
There's a class of students. Each students has a score between 0 and 300 (gaussian, with some known average and standard deviation). I need to find classes of marks (like 0-100, 101-125, 126-140, 141-160, 161-175, 176-200, 201-300) such that:
- The number of classes is minimum
- The number of students in each class is minimum
How do I go about doing this? Is this a standard problem? Also, is it possible to prove that only this set of classes will have the above property.