1 -- 1st half
If "there's no way to choose an optimum" without an "explanation of the purpose," then it's best to just relay the various options. Then I can decide on whatever is "optimum."
I don't understand what kind of "explanation" may be needed. It sounds like the "purpose" is already in...
***Fun Challenge -- weighted average of global rankings***
Goal
The goal is to create a weighted average of global rankings. Does not have to be perfectly accurate (if that was even possible).
Specific Example
To make this problem less abstract and easier, we are going to use a specific...