Of course, I am of the belief that tight groups (at POA), fired at a target 30+ yards away (most likely slow fire), is not necessarily indicative of "useful" accuracy...at least in terms of personal defense.
After all, if you find that hitting "tight" POA groups during rapid fire, say at 7 to 10 yards, proves difficult, then how useful is the longer range stuff, unless you plan on competing or joining your local PD?
But I will admit, this is a fairly specific issue and thus, not necessarily geared toward the masses.
Regardless, I generally do not pay much attention to what is considered "average." Rather, I pay much more attention to what is considered effective, useful and possibly "necessary," given my particular needs (along with the caliber/weapon used to meet such needs). Anything beyond this, personally speaking, would be more about "personal best" and/or "bragging rights."
After all, if I may use a guitar analogy, simply because you are adept at playing "rhythm," does not necessarily mean you will be adept at playing "lead."