I'm pretty much with Arglax and Redundant on this one, in terms of definition of the word. What constitutes a normal person is dependent on what group you're comparing them with, so if you're strolling around on a busy street and not doing anything that the other people aren't, then you'll be seen as normal. As soon as you start backflipping precisely every tenth second, weirdo-alarms will be ringing, and people will gaze upon you like you were a caged monkey.

In the same vein, if you're hanging out in a group where everyone else does backflips every tenth second and you DON'T do that (i.e. act like a normal person in the city), you'll also be seen as a bit of an outsider for not conforming to the local expectations. Human psychology is weird like that.

As i like to say though, normality is an illusion, and i don't necessarily consider myself a part of it. Its a nebulous enough term that it might as well not be there to begin with, and i'm almost entirely sure that if you were to pick out a completely random and seemingly normal person from the street, you'd find that this person isn't "normal" at all. Normality may be an average, yes, but the constituent parts of this average could just as well be wildly variant as they could be hovering around the median line. I have this quaint feeling that the so-called "normal" people are actually in the vast minority. :v