In a skewed data set, the median is generally considered the more appropriate measure of central tendency than the mean.
The reason for this is that the mean is sensitive to extreme values (outliers) and skewed distributions can pull the mean in the direction of the skew, which may not accurately represent the typical value in the data set. In contrast, the median, which is the midpoint value when the data is ordered, is less affected by outliers and provides a better representation of the center of a skewed distribution.
In summary, when dealing with skewed data, the median is typically favored over the mean to describe the center.