I'll disagree with peetzakilla. For it completely depends on what a person is hunting and how.
With my shotgun for deer 3" groups at 50 yards is good enough. With my 22-250 for fox it had better less than an inch. With my 30-30 for coyote 2"-2.5" at 100 is fine but 1-2" is better. With my .22LR for squirrel 1-1.5" at 50. etc etc.
But accuracy is needed. The more inherant accuracy a gun/ammo combo have from a bench the better your chances of connecting when shooting field positions. Let's face it, 6-8" groups will kill a deer at 100 yards. But if your shooting a gun only capable of that kinda accuracy from a bench you'll miss 50% of the time (or more) using feild positions.
But to answer the question: Varmint/predator guns need to be under 1". Deer centerfires under 2". No current production centerfire gun should shoot worse than that. If it does shoot worse, it's has issues that need attention from a smith or the factoy.
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