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Feb 12, 2015 at 7:12 comment added Xi'an There is a confusion there: the theoretical mean and variances of the normal distribution are the same quantity. However, the empirical mean and median of a normal sample are not the same.
Feb 11, 2015 at 4:44 comment added Yair Daon My reference is probably not as impressive as the one @Glen_b provided. I remember that it is in Bulmer's Principles of Statistics. But I think for your case the refrence I added in my answer suffices.
Feb 11, 2015 at 4:41 history edited Yair Daon CC BY-SA 3.0
added refrence to explanation in wikipedia
Feb 11, 2015 at 4:38 comment added Yair Daon @xi'an did you mean to write that the mean and median are the same quantity?
Feb 6, 2015 at 9:58 comment added user541686 @Glen_b yeah that was an epic response, I laughed pretty hard. Thanks for that!
Feb 6, 2015 at 7:42 comment added Xi'an @Glen_b: (+1) the ultimate reference!!!
Feb 6, 2015 at 5:08 vote accept Josh Brown Kramer
Feb 6, 2015 at 4:42 comment added Glen_b Laplace, P.S.de (1818) Deuxième supplément à la Théorie Analytique des Probabilités, Paris, Courcier -- Laplace gives the asymptotic distribution for both mean and median. See also the section on the variance of the median on Wikipedia
Feb 6, 2015 at 4:33 comment added Josh Brown Kramer Do you have a citation?
Feb 6, 2015 at 4:11 history answered Yair Daon CC BY-SA 3.0