Normal distribution can be parameterized with almost any measures of location and dispersion. The reason why standard deviation (which is just variance in hidin

Normal distribution can be parameterized with almost any measures of location and dispersion. The reason why standard deviation (which is just variance in hiding) is used is because it makes the equations (that non-statisticians practically never need to look at) a bit nicer given the other (mostly arbitrary) conventions used in the maths. Put simply, standard deviation is arbitrary for most people.