standard deviation

American  

noun

Statistics.

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.

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standard deviation British  

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

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standard deviation Scientific  

/ stăn′dərd /

1. 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.

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standard deviation Cultural  

1. 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.

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Discover More

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

Etymology

Origin of standard deviation

First recorded in 1920–25

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Compare meaning

How does standard-deviation compare to similar and commonly confused words? Explore the most common comparisons:

• standard deviation vs. standard error

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Example Sentences

See Examples For:

standard deviation

A VIX reading of 27 is one standard deviation above its long-term average of 19.4.

From MarketWatch ● Oct. 4, 2026

Among UK participants, people born between 1965 and 1974 had systemic aging that was 23% of one standard deviation higher than people born between 1950 and 1954, even after chronological age was taken into account.

From Science Daily ● Sep. 14, 2026

He says current valuations already reflect optimism over capital management, with the sector trading at 1.15X forward book value, one standard deviation above its five-year average.

From The Wall Street Journal ● Aug. 3, 2026

If a manager’s or strategy’s alpha is less than 5%, or the standard deviation of return is higher than 20%, then the required length of time is even longer.

From MarketWatch ● Jun. 17, 2026

No other breed falls outside the standard deviation.

From "The Miscalculations of Lightning Girl" by Stacy McAnulty

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