i would say that what bob has indicated below is BIAS ... not consistency 
...

At 12:18 PM 9/6/00 -0300, Robert J. MacG. Dawson wrote:

>         More seriously, using the sample median as a robust estimator of the
>population mean is consistent if the population is symmetric, but
>inconsistent in most other cases. It converges to the wrong value as n
>-> infinity.



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