Center of a distribution

The center of a distribution is its typical value, reported with the mean when the shape is roughly symmetric and with the median when it is skewed.

Center is one of the features a full description of a quantitative distribution covers, alongside shape, variability, and unusual features such as outliers, gaps, or clusters. The two standard measures are the mean xˉ\bar{x} (x-bar) and the median, and shape decides which one you quote, since the mean follows a long tail while the median mostly ignores it. Take the values 3, 5, 6, 8, 28: the mean is 50/5=1050/5 = 10, the median is 6, and 6 is the better summary of where a typical value sits. Pair the mean with the standard deviation and the median with the IQR so your center and spread match.

More describing data terms, or browse the full statistics glossary.