Figure of Merit
Figure of Merit The Figure Of Merit (FOM) is the average of the ranges for the width and height of the group.
Experimental Summary
Given 
All of the (h,v) positions do not need to be known so a ragged hole will suffice. 
Assumptions 

Data transformation  Preliminary Cartesian Calculations (Conceptually)

Experimental Measure  \(FOM = \frac{1}{2}(h_{Range} + v_{Range})\) 
Given
Assumptions
Data transformation
Experimental Measure
Outlier Tests
Theoretical Evaluations
Theoretical \(h_{Range}\) or \(v_{Range}\) Distributions
Theoretical \(FOM\) Distribution
yada yada
Parameters Needed  
\(PDF(r; \sigma)\)  
\(CDF(r; \sigma)\)  
Mode of PDF  
Median of PDF  
Mean of PDF  
Variance  
Variance Distribution  
(h,v) for all points?  Yes 
Symmetric about Mean?  No, skewed to larger values.
More symmetric as number of shots increases. 
Parameters Needed
Variance and Its distribution
CDF
Mode, Median, Mean
Outlier Tests
See Also
Projectile Dispersion Classifications  A discussion of the different cases for shot dispersion
Diagonal  A different way of combing horizontal and vertical measurement