[GFK_of_xmaspast]

I don't know what you inferred from the wiki article, but of course "to fit a gaussian" is to find the parameters describing it, in this case mean and variance.

Look at the "Techniques", the first three are :

"Parametric methods, by which the parameters of the distribution are calculated from the data series.[2] The parametric methods are: method of moments method of L-moments[3] Maximum likelihood method[4]"

which if you work them out you get exactly what you'd expect.