Most physical and other properties define a sort of bell shaped
curve if plotted. If you measure the actual lenght of a hundred
12" rulers you'll get a bellshaped curve with the center close to
12" and most in a very narrow range. Not normal is usually con-
sidered more than one standard deviation outside the mean.
People have a lot more parameters than a 12" ruler and many
are difficult to measure. But the principle might remain about
the same; excessive deviation.

More seriously, if someone exhibits beliefs or behavior that may
indicate problems people tend to start thinking that he's not nor-
mal. If he's wealthy then he might instead be considered eccen-
tric, or if he seems threatening then he could be committed.
There's such a wide range of behavior there's very little which
isn't normal. In the last century there's less personal respons-
ibility and the range of normality has expanded much more
than in the past as have the numbers of people obviosly outside
this range. Things like cannibilism, murder, and eating Jeeps
will never be considered "normal".