The average height of a male is 5'9" and about 15% of men are about 6' and taller. About 7% of men are 5'7" and about 3% of men are 5'4" Half of men are 5'9" or taller.

https://static1.squarespace.com/static/585718168419c246cf6f204e/t/5ab7e2de70a6adbbb6bcf676/1522000606378/STATISTICS%2B-Dimensions%2B-%2B3-19-18%2B%281%29.pdf

So, no, I don't tnink that the majority of men are 5"7".

How much money would it take to short men not to be seen as compensating.? None.