There was a Reddit post a while ago (so take it with appropriate authority) plotting the distribution of men's reported height[1]. It's a pretty normal bell curve, with a distinct spike at exactly 6'0.
I wonder how much of the exaggeration is caused by the US measurement system providing an easy numeric threshold of "6". Does a similar spike appear when you limit the population to those using the metric system?
1: https://www.reddit.com/r/dataisbeautiful/comments/xmeh3p/oc_...