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Calculating the MAX value derived from overlapping cells within a polygon area?

Question asked by Cheekychives on Feb 28, 2014
Latest reply on Feb 28, 2014 by Cheekychives
This is a statistical problem my brain is struggling with on a Friday...

How do I calculate the MAX value for a polygon area that can both derive the max from either a single layer or multiple ones added together?

I've tried to demonstrate the question with the illustration below.


Any help would be most appreciated.