standard deviation

noun

1
: a measure of the dispersion of a frequency distribution that is the square root of the arithmetic mean of the squares of the deviation of each of the class frequencies from the arithmetic mean of the frequency distribution
also : a similar quantity found by dividing by one less than the number of squares in the sum of squares instead of taking the arithmetic mean
2
: a parameter that indicates the way in which a probability function or a probability density function is centered around its mean and that is equal to the square root of the moment in which the deviation from the mean is squared

Examples of standard deviation in a Sentence

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At the same time, at Nasdaq, the price for call options betting on a one-standard deviation move in the Nasdaq 100 surged 42% — the biggest single-day jump in five years, according to Nations Indexes data. Oliver Renick, CNBC, 5 Aug. 2026 Berglund Scherwitzl arose in a discipline where the evidentiary bar is five standard deviations. Geri Stengel, Forbes.com, 27 July 2026 The smaller the standard deviation, the tighter the points are spread across the league. Mark Carey, New York Times, 24 May 2026 In business schools, high-diversity cohorts earned starting salaries that were a standard deviation or more above the median 966 times out of 3,964 cohorts. ArsTechnica, 29 Apr. 2026 See All Example Sentences for standard deviation

Word History

First Known Use

1895, in the meaning defined at sense 1

Time Traveler
The first known use of standard deviation was in 1895

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Cite this Entry

“Standard deviation.” Merriam-Webster.com Dictionary, Merriam-Webster, https://www.merriam-webster.com/dictionary/standard%20deviation. Accessed 11 Aug. 2026.

Kids Definition

standard deviation

noun
: the square root of the arithmetic mean of the squares of differences between the arithmetic mean of a frequency distribution and the values of the variable

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