Everything in the OP is wrong.
A door or bed is exactly the size the DM says it is.
Average European male height is 5' 8" - 5' 11" depending upon country.
This thread enrages me. We had enough fake news in 2018, don't start the New Year like this!
And the average male Netherlander is over 6'1" I don't know of any nation so short as to bring the average down to 5' taking all that into account.
I use "around" for a reason. 6' is still closer to 5' than 10' or even 7'6"
If an innkeeper shows me a 5' bed because that's "about" 6' I'll take my patronage elsewhere including bivouac.