Linked from

The 24 pages that link to Median, each with the reason it gives.

• Expected valueCompared with: Unlike the mean, the median need not shift greatly under extreme outcomes.

• Arithmetic meanCompared with: It resists extreme observations that can strongly shift the arithmetic mean.

• Geometric meanCompared with: Unlike the geometric mean, it depends on rank rather than multiplication.

• Mode (statistics)Compared with: The median describes position in ordered data, while the mode describes greatest frequency.

• Sample meanCompared with: Unlike the sample mean, the sample median is resistant to extreme observations.

• Weighted averageCompared with: Unlike a weighted average, it depends on rank rather than weighted magnitude.

• Sum of squaresCompared with: Absolute deviations are minimized by a median, whereas squared deviations are minimized by a mean.

• Ham sandwich theoremCompared with: A one-dimensional ham-sandwich cut is a median; the theorem generalizes simultaneous medians.

• QM–AM–GM–HM inequalitiesCompared with: Unlike these means, the median is defined by rank and need not lie within their ordering.

• Sample mean and covarianceCompared with: Unlike the sample mean, the median is less sensitive to extreme values but does not estimate a multivariate location in the same way.