Oh no! It's Vincent Adultgnome!
You're assuming that in-game humans and in-game dwarves both follow the same distribution as real-world humans, but there's no basis for that assumption. Human height in the game world follows a 2d10 distribution from a base of 4'8".that is guideline for general population, let's say 90% of the race.
In NBA 6'4'' or 193cm is average for point guard, usually the lowest member of the team. Centers are at 6'10''(208 cm) or taller. You cant even get that on random height table.
So you could be a 6ft dwarf, but you would be 1 in 10,000 or even 1 in 100,000.