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- Standard_deviation abstract "In statistics and probability theory, the standard deviation (SD) (represented by the Greek letter sigma, σ) shows how much variation or dispersion from the average exists. A low standard deviation indicates that the data points tend to be very close to the mean (also called expected value); a high standard deviation indicates that the data points are spread out over a large range of values.The standard deviation of a random variable, statistical population, data set, or probability distribution is the square root of its variance. It is algebraically simpler though in practice less robust than the average absolute deviation.A useful property of the standard deviation is that, unlike the variance, it is expressed in the same units as the data. Note, however, that for measurements with percentage as the unit, the standard deviation will have percentage points as the unit.In addition to expressing the variability of a population, the standard deviation is commonly used to measure confidence in statistical conclusions. For example, the margin of error in polling data is determined by calculating the expected standard deviation in the results if the same poll were to be conducted multiple times. The reported margin of error is typically about twice the standard deviation—the half-width of a 95 percent confidence interval. In science, researchers commonly report the standard deviation of experimental data, and only effects that fall much farther than one standard deviation away from what would have been expected are considered statistically significant—normal random error or variation in the measurements is in this way distinguished from causal variation. The standard deviation is also important in finance, where the standard deviation on the rate of return on an investment is a measure of the volatility of the investment.When only a sample of data from a population is available, the term standard deviation of the sample or sample standard deviation can refer to either the above-mentioned quantity as applied to those data or to a modified quantity that is a better estimate of the population standard deviation (the standard deviation of the entire population).".
- Standard_deviation thumbnail Standard_deviation_diagram.svg?width=300.
- Standard_deviation wikiPageExternalLink A16252.html.
- Standard_deviation wikiPageExternalLink standard-deviation.appspot.com.
- Standard_deviation wikiPageExternalLink what-is-standard-deviation.
- Standard_deviation wikiPageExternalLink www.ifa.com.
- Standard_deviation wikiPageExternalLink stdev.shtml.
- Standard_deviation wikiPageExternalLink stddev-30-secs.html.
- Standard_deviation wikiPageExternalLink watch?v=AUSKTk9ENzg.
- Standard_deviation wikiPageID "27590".
- Standard_deviation wikiPageRevisionID "605578439".
- Standard_deviation hasPhotoCollection Standard_deviation.
- Standard_deviation id "p/q076030".
- Standard_deviation title "Quadratic deviation".
- Standard_deviation subject Category:Data_analysis.
- Standard_deviation subject Category:Statistical_deviation_and_dispersion.
- Standard_deviation subject Category:Statistical_terminology.
- Standard_deviation subject Category:Summary_statistics.
- Standard_deviation comment "In statistics and probability theory, the standard deviation (SD) (represented by the Greek letter sigma, σ) shows how much variation or dispersion from the average exists.".
- Standard_deviation label "Desviación típica".
- Standard_deviation label "Desvio padrão".
- Standard_deviation label "Deviazione standard".
- Standard_deviation label "Odchylenie standardowe".
- Standard_deviation label "Standaardafwijking".
- Standard_deviation label "Standard deviation".
- Standard_deviation label "Standardabweichung".
- Standard_deviation label "Écart type".
- Standard_deviation label "Среднеквадратическое отклонение".
- Standard_deviation label "انحراف معياري".
- Standard_deviation label "標準偏差".
- Standard_deviation label "標準差".
- Standard_deviation sameAs Směrodatná_odchylka.
- Standard_deviation sameAs Standardabweichung.
- Standard_deviation sameAs Desviación_típica.
- Standard_deviation sameAs Desbideratze_estandar.
- Standard_deviation sameAs Écart_type.
- Standard_deviation sameAs Simpangan_baku.
- Standard_deviation sameAs Deviazione_standard.
- Standard_deviation sameAs 標準偏差.
- Standard_deviation sameAs 표준편차.
- Standard_deviation sameAs Standaardafwijking.
- Standard_deviation sameAs Odchylenie_standardowe.
- Standard_deviation sameAs Desvio_padrão.
- Standard_deviation sameAs m.06w22.
- Standard_deviation sameAs Q159375.
- Standard_deviation sameAs Q159375.
- Standard_deviation wasDerivedFrom Standard_deviation?oldid=605578439.
- Standard_deviation depiction Standard_deviation_diagram.svg.
- Standard_deviation isPrimaryTopicOf Standard_deviation.
