Interesting to read how people approach this. 25 is my statistical sample size.
I normally test, tune and shoot at 40 yards (far enough to see what's happening, close enough that I'm not negativity affecting the results too badly
) and typically shoot 5 targets of 5 shots to see what is going on.
Any more than 5 shots per target and I can't tell where the individual hits are. I figure that looking at 5 groups of 5 shots is a reasonable indicator of what to expect.
Being pesting/hunting orientated (and being influenced by bows, slingshots and other single shot weapons) I believe in making the first shot count. To that end I'm concerned with the delta between the POA and the POI. I check this by shooting one shot per bull for 25 bulls then averaging the total delta to get my error for that session.
I measure 5-shot groups when I'm tuning and looking at consistency. If I'm generally seeing nice tight groups I don't worry too much about the occasional flier as I guess that it was and odd pellet or something that I did. If I see stringing I figure something is loose (gun or optics,) or I'm being inconsistent in hold or cheek weld. If the groups are scattered then I'll clean the barrel, do a quick check (weight & head size) of the ammo and/or reassess my tune or choice of pellet/slug for this airgun.
Funny, rather that abandoning a group in fear of ruining it as one guy mentioned I do the opposite - I keep on shooting to see how many shots I can stack before blowing it LOL! My personal best string is 13 .22 pellets in a .187" CTC group at 40 yards... should have bought a lottery ticket that day!
Cheers!