Well now, if the results are really normally distributed (or distributed
otherwise but symmetrically), what is the difference between the mean and
the median?  Nothing.

If you are constructing confidence intervals or testing hypothesis, you may
prefer techniques designed for means, as estimators of means are typically
more efficient than are estimators of medians.

-----Original Message-----
 The reply from 
> her supervisor was "if the results are normally distributed then use 
> the mean otherwise use the median". I am sure this is sage advice, but 
> why?


Of course, there is no rule that says you can't report both a mean and a
median.

.
.
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