It's simply a calculation Brent, not a measurement, so no SD
Lots of formula out there; this is an easy one for recoil velocity which as you know is not recoil force
https://www.vcalc.com/wiki/gun-recoil-velocity and this gives you both
https://shooterscalculator.com/recoil-calculator.phpSmart guys have been trying to measure recoil force for > 100 years
“Recoil Device”
http://books.google.com/books?id=inQCAAAAYAAJ&pg=PA346&source Forest & Stream, July 20, 1901
“The Recoil of Shotguns”
https://books.google.com/books?id=qkMhAQAAMAAJ&pg=PA58 https://books.google.com/books?id=qkMhAQAAMAAJ&pg=PA217 Forest & Stream Nov. 16, 1901
“The Recoil Due to Gas” from The Field, London, using a ballistic pendulum
https://books.google.com/books?id=qkMhAQAAMAAJ&pg=PA400IMHO
felt recoil is impossible to quantitate - too many variables