Given the minimal temperature measured in the Earth's atmosphere is not $0\space K$, air molecules are moving. I see no reason for air molecule to move all at the same speed. The question is restricted to the absolute value of speed (I know that if there is no wind, the algebraic sum of air molecule velocity is zero).
My question is: what is the distribution of air molecule speed (at sea level)?
I'm looking for a density graph or histogram in which I can see for each speed the proportion of air molecule going at that speed. I imagine this distribution don't change with altitude (there is just less air molecule) but I may be mistaken.
Bonus question: Is this distribution specific to Earth's atmosphere? (I'm thinking of other gas such as other planet's atmosphere, a volume of gas in an hermetic box in a lab,...)?