Temperature and Standard Deviation

[Enertron]

Hi everyone,
I was wondering what the mathematical relationship between temperature and standard deviation in energy is. As I understand it, temperature is energy in random motion, and some sets of random data have a standard deviation from the "average". So how would the temperature of, say, molecules in a gass be related (mathematically) to the standard deviation of the energy of each molecule? I have searched the web for the answer to this, but I can't seem to find a straight answer.
Any help would be greatly appriciated.
-Enertron

 

[ZapperZ]

Temperature is equivalent to the average kinetic energy of the gas particles. The spread or standard deviation doesn't play a direct factor in classical thermodynamics of temperature.

http://hyperphysics.phy-astr.gsu.edu/hbase/kinetic/kintem.html

Zz.

 

[Enertron]

Thanks for the help ZapperZ. :-)