What the heck's the use of firing five shots for groups, if you're going to "cherry-pick" the best three??
Well if you are shooting bullseye they all count.
If you are shooting to try out a new gun or load the 3 of 5 method helps. But it helps only if you keep track of both. You count your flyers, but they count as your flyers. The point of the 3 and 5 is to isolate the shooters error from what the gun/ammo can do. You look for consistency. It's one tool in the tool box.
By the way, this method predates Ayoob. He borrowed it, I believe, from bench rest rifle shooting and the methods used to test rifle accuracy at 100 yards and beyond.
Personally, I never shoot for groups. I shoot to hit a target and aim to place each shot where I want it. Groups are the result.
If I comment on a group I've shot I always say "5 rounds in 3.5 inches, 3 of which were inside of 2 inches" or " A good 2 inch group spoilt by my two flyers that opened it to 4 inches". If I were to only mention the 3 best shots it would give a distorted impression of my own abilities something I have no need to do. But citing the 3 best gives someone a better idea of what the gun and ammo can do, IMHO.
tipoc