Ties detected in circ_median (line 58)

[russgport]

I have a quick question about a warning that appears when using your CircStat toolbox. In short, sometimes (though somewhat frequently) when I use the median function (or related functions - i.e. testing group differences based on median values), I get a warning:

"Warning: Ties detected.

In circ_median (line 58)
In phase_differece_thresholded_by_significant_and_cir_test (line 62)"

From what I can tell, the error arises because there are two entries (at least) which have the minimum value for the difference of phases. Then the code goes on to subsequently compute a mean value of the beta angles that had the same minimum value for the differences of phases. As such, since the mean is taken after the tie is found, does this mean I can acknowledge the warning, but still proceed with the outputted value, or should I discard the resulting values because of the warning?