There's relative weirdness and there's universal weirdness. Relative weirdness is a sociological, (sub)cultural, and socially constructed thing, while universal weirdness is a biological thing. Defining is the easy part. The hard part is knowing where the line between both of em are, when they overlap, how much they overlap, and the dynamics of overlapping.
Example of relative:
Fashion trends
Invented gestures
Taste in music
Knowledge of current things (music, movies, the world, etc.)
etc...
Examples of universal:
Facial expressions
Body language
Instinctive gestures
The way you walk
The way you talk
The desire to socialize (We are commonly thought of as social beings)
Your pattern of thinking
etc...
Since the part about "Your pattern of thinking" is hard to define, I'll give an example:
NT: Hold on, I need to go buy a bong from that head shop across the road. I'll be back in a second.
AS: A second? Are you serious? It'll take 12 seconds to cross the road at the average walking pace, and if the lights are red, it'll be red for 30 seconds starting from when it got red.
NT: ...You're weird
As you see in this conversation, common aspie traits are: Fixation on small details and literal interpretation. Both traits oftenly overlap, and the results can be awkward lol. An NT knows that a second isn't literally a second, and since they don't fixate on little details as much as we do, the exact time it takes to get back isn't important. Our literal interpretation comes from the fact that we don't fill in the blanks of what has been said (which is why the aspie in this convo felt the need to point out the lights).
So yeah, try not to overanalyze what I said. The concepts are cut and dried, but the details are complicated. I'm trying to help you, not give you a psychology trivia. Long post short, just remember there's three things: Universal weirdness, relative weirdness, and an overlap between the two.