Hint 1. understanding mean square velocityopened hint the mean square velocity is given by (v2)avg=(∑v2)/n, where the sum is taken over all the molecules in the gas and n is the total number of molecules. if you take the central speed value of each bin as an estimate of the speed of all the molecules in that bin, this equation reduces to (v2)avg=∑binsnbinv2n, where the sum is now over the number of discrete bins and nbin is the number of molecules (or equivalently the percentage of molecules) in a particular bin.