Over the years, I have also seen that sometimes, schools don't even extend interview invites to people with stats WAY above their averages. The theory is that they know those students aren't going to attend their school, so why even bother? A school that I've seen do this a few times is NYU, along with LECOM. Of course, nothing is certain, but it's awfully weird when some people get accepted to Harvard and don't even hear a peep from NYU. 🙂 I mean, NYU is great... But it ain't Harvard!
There are plenty of people out there with top stats who aren't losers. Let's not assume that they all can't interview well or don't have strong applications in other areas. 🙂 Of course, those people are out there... But you can see from SDN that there are some really cool people with high stats who also have "balanced" social lives!
That being said, even an application that looks "perfect" from the outside doesn't guarantee anything. This process is, in some unfortunate ways, a crapshoot.