Best 3 out of 5 demonstrates wishful thinking as does the discounting of any "flyer". The practice of placing a coin over the errant shot then taking a picture of the remaining group is wishful thinking shared with others! Regards, Bill
Damnit, I am ashamed to admit that it never occured to me that that dime or quarter was there for devious purposes!!
Anyhow, discarding _any_ shots in a group that haven't been called as bad shots before you've seen where they print on the paper (let alone "best 3 out of 5"), is seriously dishonest, to the point of rendering the whole exercise useless and meaningless. Perhaps that's why my rifle, which I'll represent as being capable of firing better than 5/8" 5-shot groups at 100 yards but only rarely ever better than 1/2", seems to usually be able to outshoot other rifles that supposedly are capable of 3/8" groups
Another way of looking at things is to consider what exactly a group (of any number of shots) is capable of telling you, and also what it is _not_ capable of telling you. It might be helpful to think of a group as telling you a form of "negative information".
When you are looking for a good load, what you probably want is something "accurate enough for the intended purpose". Clearly this definition will reasonably differ from a factory hunting rifle to a custom competition rifle, but in each case you have an idea of what is appropriate to expect and to try to accomplish, and what sort of performance indicates "keep on looking, you're not there yet..."
What I mean by "negative information" is that a large group, even with only a few shots fired, tells you with 100% certainty that something is wrong. You don't need to fire any more shots to know this nor to confirm this (a very fine shooter once told me, "nobody ever made a group smaller by shooting at it"!). As soon as you shoot a big group, you can stop shooting; you now know that there is something wrong with what you were doing and you now need to try something else.
Whereas a small group doesn't tell you that your load is a good one. All it tell you is that so far, nothing has messed up. The more shots you have in a small group, and/or the more small groups you have fired without firing a single large group, the less uncomfortable you have to be that there might be problems with your load. But you never "know" your load is good, and you never can.
So as long as your groups are "too large", you don't need to fire many shots in your groups at all.
As soon as your groups get to be "small enough", you then have to fire more shots in your group, and more groups, until you develop enough confidence that your load is good enough for the intended purpose.