# Proof for Mean-Mode=3(Mean-Median)

Can anybody give proof of the above relationship algebraically?I have not seen the derivation of it.

DrDu
I don't think that this is a generally valid relationship. I would guess that it holds for a PDF expressed in terms of a lowest order Edgeworth series.

I don't think that this is a generally valid relationship. I would guess that it holds for a PDF expressed in terms of a lowest order Edgeworth series.
I was in a hurry and when one is not familiar with the derivation ,often one messes the formula.
Yeah the correct relationship is Mode=3Median-2Mean.What is the derivation for it?

DrDu
That's the same formula you wrote before, only solved for Mode. It is not a general valid equation. For example, there are distributions which don't even have a mode, but a median and a mean.
I suppose you can get it using an Edgeworth expansion including the skewness and the curtosis:
http://en.wikipedia.org/wiki/Edgeworth_series

DrDu
I hardly know more about this relation than you. In the link I found there are all the references to original articles you need.

I hardly know more about this relation than you. In the link I found there are all the references to original articles you need.
I have seen that link in Mathematics stack exchange before and I did't get it that's why I have posted it here.When you first posted that it is not a valid relationship I thought that modification in statistic may have came for this formula.

No problem if you don't know but if you can help for some initial steps It would help me.