One day, way back in high school statistics class, I got so bored I started messing with numbers. After a while I discovered an equation that determines the deviation of a series, that only works for a series with a constant sum. I was wondering if it had a name or whether it had any applications. I originally though it could be used to identify an overload on a system with a single power source (I.E. a central breaker that turns off if the deviation of current for all branches exceeds a threshold). What use that would be IDK.

Sorry for horrible notation (I'm on android)EDIT: fixed the notation
\[ D = \frac{1}{{x_{avg}}^n} \prod_{i=0}^{N} x_i \]
Output: 0 to 1 with lower numbers being higher deviation (or just subtract from one to invert)