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.
Gender pay gapRelated: Median comparisons reduce the influence of very high earners.
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.
Robust statisticsRelated: Unlike the mean, it can tolerate nearly half the observations being arbitrarily extreme.
Descriptive statisticsRelated: It describes the center while resisting the influence of extreme values.
Cauchy distributionRelated: The Cauchy distribution has a well-defined median even though its mean does not exist.
Order statisticBroader topic: The median is a central order statistic, with conventions for even-sized samples.
Data typesRelated: Ordering is enough to define a median, so it can summarize ordinal data.
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.
Box plotRelated: The line inside the box marks the dataset’s median.
Interquartile rangeRelated: It marks the center of the interval whose width the IQR measures.
Weighted averageCompared with: Unlike a weighted average, it depends on rank rather than weighted magnitude.
Log-normal distributionRelated: For a log-normal variable, the median is the exponential of the underlying normal mean.
Median voter theoremRelated: The median voter's position divides the electorate into two sides.
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.
QuartileRelated: The second quartile is the median, and the other quartiles divide data around it.
Statistics (numerical data)Broader topic: It describes a typical value while resisting the influence of outliers.
Stem-and-leaf displayRelated: Reading leaves in order makes the middle observation straightforward to locate.
Violin plotRelated: The median is often marked inside a violin as a compact center summary.
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.