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Standard deviation

In statistics, the standard deviation is a measure of the amount of variation of the values of a variable about its (arithmetic) average. A low standard deviation indicates that the values of a set tend to be close to their average, while a high standard deviation indicates that the values are spread out over a wider range. Standard deviation may be…

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Overview

Relationship with standard error and statistical significance

Basic examples

Definition of population values

Estimation

Identities and mathematical properties

Interpretation and application

Standard deviation matrix

Relationship between standard deviation and mean

Rapid calculation methods

History

Standard deviation index

Alternatives

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Map overview Semantic statistics

Standard deviation

Nodes120
Edges119
Triples110
Avg. degree1.98
Density0.016667
Components1

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Standard deviation

Top relations

related to Geometric interpretation · 7
Standard deviation → Consider, If, R3, So, That, This, To
related to Interpretation and application · 7
Standard deviation → As, For, If, It, The, Their, These
related to Bounds on standard deviation · 6
Standard deviation → An, For, Other, R/4, R/K, This
related to Estimation · 6
Standard deviation → However, In, Most, One, Such, Unlike
related to Properties · 6
Standard deviation → Mahalanobis, See Multivariate, Sigma, Since, The, This
related to Standard deviation matrix · 6
Standard deviation → In, It, Sigma, The, There, This
related to Discrete random variable · 5
Standard deviation → Bessel's, In, Note, See, The
related to Relationship with standard error and statistical significance · 5
Standard deviation → By, For, In, The, Thus
related to Standard deviation index · 5
Standard deviation → Consensus, It, Laboratory, SDI, The
related to Standard deviation of average height for adult men · 5
Standard deviation → For, If, This, Three, United States

Important terminology Word statistics

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Important terminology

standard deviation mean displaystyle population sample values sigma average distribution frac variance sqrt data left right square deviations error normal

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Standard deviationis ameasure of the amount of variation of the values of a variable about its0.90text
Standard deviationis asquare root of the variance0.90text
Standard deviationis asquare root of the variance of X.The standard deviation of a probability distribution is the same as that of a random variable having that distribution.Not all random variables…0.90text
Standard deviationis avery technically involved problem0.90text
these are particularly important when the testing is relatively expensiveinstance ofStatistical tests0.80text
Standard deviationhas methodThe0.60section
Standard deviationrelated to AlternativesStandard0.60section
Standard deviationrelated to Application examplesThe0.60section
Standard deviationrelated to Bounds on standard deviationFor0.60section
Standard deviationrelated to Bounds on standard deviationAn0.60section
Standard deviationrelated to Bounds on standard deviationR/40.60section
Standard deviationrelated to Bounds on standard deviationThis0.60section

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