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1.

a measure of dispersion in a frequency distribution, equal to the square root of the mean of the squares of the deviations from the arithmetic mean of the distribution.

Origin

1920-1925

Dictionary.com Unabridged

Based on the Random House Dictionary, © Random House, Inc. 2014.

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Based on the Random House Dictionary, © Random House, Inc. 2014.

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Examples for standard deviation

- The
*standard deviation*is essentially the average difference between each data point and the average. - In the game probability model, this roughly translates into a
*standard deviation*below average. - But over ten-year holding periods the
*standard deviation*drops to five percentage points. - The main arguments it takes are the average and the
*standard deviation*of the distribution you want. - Every study does not necessarily have bias,also bias has nothing to do with
*standard deviation*or p value. - Your plotted error bars should be the
*standard deviation*of the mean, not the*standard deviation*. - There is a kurtosis measure, a fourth moment as
*standard deviation*is a second moment, for this variation. - The
*standard deviation*is how much a set of data is different from the curve it should make when plotted on a graph.

British Dictionary definitions for standard deviation

noun

1.

(statistics) a measure of dispersion obtained by extracting the square root of the mean of the squared deviations of the observed values from their mean in a frequency distribution

Collins English Dictionary - Complete & Unabridged 2012 Digital Edition

© William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins

Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012

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© William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins

Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012

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standard deviation in Medicine

**standard deviation** *n.* *Symbol ***σ**

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 American Heritage® Stedman's Medical Dictionary

Copyright © 2002, 2001, 1995 by Houghton Mifflin Company. Published by Houghton Mifflin Company.

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Copyright © 2002, 2001, 1995 by Houghton Mifflin Company. Published by Houghton Mifflin Company.

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standard deviation in Science

The American Heritage® Science Dictionary

Copyright © 2002. Published by Houghton Mifflin. All rights reserved.

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Copyright © 2002. Published by Houghton Mifflin. All rights reserved.

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standard deviation in Culture

In statistics, a measure of how much the data in a certain collection are scattered around the mean. A low standard deviation means that the data are tightly clustered; a high standard deviation means that they are widely scattered.

: About sixty-eight percent of the data are within one standard deviation of the mean.Note

The American Heritage® New Dictionary of Cultural Literacy, Third Edition

Copyright © 2005 by Houghton Mifflin Company.

Published by Houghton Mifflin Company. All rights reserved.

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Copyright © 2005 by Houghton Mifflin Company.

Published by Houghton Mifflin Company. All rights reserved.

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standard deviation in Technology

statistics

(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 (http://dictionary.com/)].

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

(2003-05-06)

(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 (http://dictionary.com/)].

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

(2003-05-06)

Encyclopedia Article for standard deviation

in statistics, a measure of the variability (dispersion or spread) of any set of numerical values about their arithmetic mean (average; denoted by mu). It is specifically defined as the positive square root of the variance (sigma2); in symbols, sigma2=Sigma(xImu)2/n, where Sigma is a compact notation used to indicate that as the index (I) changes from 1 to n (the number of elements in the data set), the square of the difference between each element xI and the mean, divided by n, is calculated and these values are added together.

Learn more about standard deviation with a free trial on Britannica.com

Encyclopedia Britannica, 2008. Encyclopedia Britannica Online.

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