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Median

The median of a set of numbers is the value separating the higher half from the lower half of a data sample, a population, or a probability distribution. For a data set, it may be thought of as the "middle" value. The basic feature of the median in describing data compared to the mean (often simply described as the "average") is that it is not skewed by…

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Overview

Finite set of numbers

Definition and notation

Uses

Probability distributions

Properties

Jensen's inequality for medians

Medians for samples

Multivariate median

Other median-related concepts

Median-unbiased estimators

History

Advanced semantic analysis

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Map overview Semantic statistics

Median

Nodes150
Edges149
Triples167
Avg. degree1.99
Density0.013333
Components1

How this topic connects Entity context

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Median

Top relations

related to External links · 19
Median → Andrew Daniels, College Board Got Wrong, Computation, Creative Commons Attribution/Share-Alike License, EMS Press, Encyclopedia, Eric, Mathematics, MathWorld, Oxford University, PlanetMath, Popular Mechanics This, Problem Even, Python, Sample ObservationsOn-line, Statistical Median, Successive Binning'Mean, The Complex SAT Math, Weisstein
see also · 16
Median → Absolute, Algorithm, Difference, Fast, Generalization, Graph, Lipschitz, Mathematics, Method, Moving, Number, Objects, Statistical, Strong, Theorem, Type
related to Inequality relating means and medians · 11
Median → Book, If, In, Jensen's, Mallows, Murty, O'Cinneide, Page, Sher, This, Using
related to Interpolated median · 10
Median → An, But, First, If, In, It, Likert, More, Then, When
related to Mean, median, and skew · 9
Median → For, However, Pearson, Poisson, See, This, Violations, Weibull, When
related to Median–median line · 9
Median → Brown, He, Mood, Nair, Shrivastava, The, This, Tukey, Wald
related to history · 8
Median → Europe, European, However, Mediterranean, Scientific, Talmud, The, Within
is a · 7
Median → 2-quantile, mid-range, optimal Bayesian L 1, popular summary statistic in descriptive statistics, smallest value of x, special case of other ways of summarizing the typical values associated with a statistical distribution, symmetric beta distribution pushed forward by F
related to Median-unbiased estimators · 7
Median → Any, Brown, Gauss, George, Laplace, Other, The
related to Optimality property · 6
Median → In, Note, Provided, The, This, X-m

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Important terminology

displaystyle mean distribution sample value set data one frac population operatorname distributions statistics function example number left right probability values

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Medianis a2-quantile0.90text
Medianis aspecial case of other ways of summarizing the typical values associated with a statistical distribution0.90text
Medianis apopular summary statistic in descriptive statistics0.90text
Medianis asymmetric beta distribution pushed forward by F0.90text
Medianis aoptimal Bayesian L 10.90text
Medianis asmallest value of x0.90text
Medianis amid-range0.90text
translationsinstance ofthe geometric median is equivariant with respect to Euclidean similarity transformations0.80text
rotations.Median in all directionsIf the marginal medians for all coordinate systems coincideinstance ofthe geometric median is equivariant with respect to Euclidean similarity transformations0.80text
then their common location may be termed theinstance ofthe geometric median is equivariant with respect to Euclidean similarity transformations0.80text
rotationsinstance ofthe geometric median is equivariant with respect to Euclidean similarity transformations0.80text
Medianrelated to CenterpointIn0.60section

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    Min side: 3
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