It depends on what you want to do. In a symmetric distribution, the mean and median will be close if not equal. The mean is affected by extreme values, while the median is not. If you have any doubts as to the ‘best’ parameter, I would simply choose the median.
To illustrate:
x1 = [1 2 3 10];
x2 = [1 2 3 99];
x1_stats = [mean(x1) median(x1)]
x2_stats = [mean(x2) median(x2)]
x1_stats =
4 2.5
x2_stats =
26.25 2.5