Standard deviations definition of Standard deviations in the Free Online Encyclopedia.

standard deviation

In statistics, the average amount a number varies from the average number in a series of numbers.

standard deviation [′stan·dərd ‚dē·vē′ā·shən]

(statistics)

The positive square root of the expected value of the square of the difference between a random variable and its mean.

(statistics)

standard deviation - (SD) A measure of the range of values in a set of numbers. Standard deviation is a statistic used as a measure of the dispersion or variation in a distribution, equal to the square root of the arithmetic mean of the squares of the deviations from the arithmetic mean.

The standard deviation of a random variable or list of numbers (the lowercase greek sigma) is the square of the variance. The standard deviation of the list x1, x2, x3...xn is given by the formula:

sigma = sqrt(((x1-(avg(x)))^2 + (x1-(avg(x)))^2 + ... + (xn(avg(x)))^2)/n)

The formula is used when all of the values in the population are known. If the values x1...xn are a random sample chosen from the population, then the sample Standard Deviation is calculated with same formula, except that (n-1) is used as the denominator.

[dictionary.com].

["Barrons Dictionary of Mathematical Terms, second edition"].

Mentioned in	?		References in periodicals archive	?		Encyclopedia browser	?		Full browser	?
No references found	The default parameters of 20 periods for the moving average and standard deviation calculations, and two standard deviations for the bandwidth are just that, defaults. Bollinger Bands by International Business Times - US ed. 13 standard deviations below the Philadelphia average, respectively, while the pre-intervention scores of the full set of 142 regular public schools were 0. For-profit and nonprofit management in Philadelphia schools: what ... by Peterson, Paul E.; Chingos, Matthew M. / Education Next DataRecorder calculates averages, standard deviations, process centeredness, and process capability index (Cpk). Data management software for ultrasonic welders by Plastics Technology	standard arm standard artillery atmosphere standard artillery zone standard atmosphere standard atmospheric pressure standard ballistic conditions standard blocked F-format data set standard broadcast band standard broadcast channel standard broadcasting standard calomel electrode standard candle standard capacitor Standard Cell Standard Commands for Programmable Instruments standard compass standard conditions standard coordinates standard cubic foot of gas standard curing standard cylinder Standard d'Echange et de Transfert standard depth-pressure recorder standard deviate standard deviation Standard deviations standard dimensions ratio standard electrode potential standard elemental time standard error standard error of the estimate standard error of the forecast standard error of the regression coefficient standard evaporator standard extension standard fit standard for robot exclusion Standard for the exchange of product model data standard form standard free-energy increase Standard Fuel standard function standard gage standard gauge Standard Generalised Markup Language Standard Generalized Markup Language standard gold Standard Grade standard gravity standard heat of formation standard hole	standard deviation standard deviation standard deviation standard deviation standard deviation standard deviation Standard Deviation between Replicates Standard Deviation Distance Measure Standard Deviation Index Standard Deviation of a Single Height Measurement Standard Deviation of Color Matching Standard Deviation of Lateral Position Standard Deviation of Normal to Normal Standard Deviation of Normal-to-Normal Intervals Standard Deviation of Nucleolar Area Standard Deviation of Pixel Ratio Standard Deviation of Prediction Standard Deviation of Respiration Rate Standard Deviation of Run Length Standard Deviation of the Averages of NN Standard Deviation of the Error Standard Deviation of the Mean Standard Deviation of the Nuclear Perimeter Standard Deviation of the Number of Delayed Frames Standard Deviation Percent Mean Standard Deviation Related to Quality Standard Deviation Score Standard Deviation Score for Length Standard Deviation Score of Height for Chronological Age Standard deviations Standard Device Level Protocol Standard Diagnostic Test Standard Dial-Up Standard Dial-up POP3 Service Standard Diameter Ratio Standard Dichotic Listening Test Standard Dictionary of Folklore Mythology and Legend Standard Diesel Injection Standard Digital Data Exchange Format Standard Digital Hierarchy Standard Digital Markup Language Standard Digital Television Standard Dimension Ratio standard dimensions ratio standard dimensions ratio standard dimensions ratio Standard Direct Layer Standard Direct Product Hour Standard Direct Receiver Standard Disbursing Initiative Standard Disclaimer and Warning Standard Disk Interface/Interconnect Standard Distance File Standard Distance Package Standard distribution Standard distribution Standard distribution Standard distribution Standard Distribution List

Mentioned in

References in periodicals archive

Encyclopedia browser

Full browser

No references found

The default parameters of 20 periods for the moving average and standard deviation calculations, and two standard deviations for the bandwidth are just that, defaults.

Bollinger Bands by International Business Times - US ed.

13 standard deviations below the Philadelphia average, respectively, while the pre-intervention scores of the full set of 142 regular public schools were 0.

For-profit and nonprofit management in Philadelphia schools: what ... by Peterson, Paul E.; Chingos, Matthew M. / Education Next

DataRecorder calculates averages, standard deviations, process centeredness, and process capability index (Cpk).

Data management software for ultrasonic welders by Plastics Technology

standard arm

standard artillery atmosphere

standard artillery zone

standard atmosphere

standard atmospheric pressure

standard ballistic conditions

standard blocked F-format data set

standard broadcast band

standard broadcast channel