Let me throw this out there, shooting 3 shot groups is a complete waste IMO. If you are trying to see how truly accurate a precision rifle is try this, instead of shooting 5 seperate 5 shot groups that will most likely have a different point of impact on the target shoot 25 shots into same group. Works like this you shoot 5, 5 shot strings allowing the rifle to cool in between strings but shoot them at same group. When you are done measure your group and this will give you the best idea of how truly accurate your rifle is because things will change during this test which will take a little time to do, usually about 1hr. This will pick up any flyers, impact shift as well as how the rifle shoots as the barrel fouls. It may also show you impact shift due to light change, temperature changes, changes in barometric pressure and wind conditions as you can read them. If you get lucky and get a calm day, overcast with a constant temperature and barometric pressure then great...if not then you will see how it does the other 99% of the time
This test does tell you everything though and there is no average or any way to hide the true size of the group, you hang one out there its there and the group size is simply bigger. I got this from a benchrest shooter and was told its how you look for the good barrels, I simply applied it to all rifles and believe it is a true measure of a rifle IMHO