I see what you're trying to do, but it doesn't work. Our arguments need to be like the Doomsday argument, presented here: https://what-if.xkcd.com/65/
If most species looked at themselves and said "my species is ordinary" the majority of them would be right; however, it doesn't give you any statistical reason to think that humans are ordinary.
So what about:
- Humans are an ordinary species
- Humans live in an ordinary galaxy
Does that change our relative height?