standard error

noun

: the standard deviation of the probability function or probability density function of a random variable and especially of a statistic
specifically : the standard error of the mean of a sample from a population with a normal distribution that is equal to the standard deviation of the normal distribution divided by the square root of the sample size

Examples of standard error in a Sentence

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Under two of the three possible options, a lower score – within one standard error measure of the passing score – would be accepted in exchange for showing that educators had received high-quality training in a different way. al, 13 June 2022 Jilly said there are standard errors that come up in testing, and since the amount of virus in the test sample was so low, the instance didn’t concern him. Morgan Krakow, Anchorage Daily News, 25 May 2020 The x-axis shows the effect size reported by the study, while the y-axis represents the standard error of the effect size, which is usually inversely related to the sample size. Neuroskeptic, Discover Magazine, 24 Mar. 2017

Word History

First Known Use

1897, in the meaning defined above

Time Traveler
The first known use of standard error was in 1897

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Cite this Entry

“Standard error.” Merriam-Webster.com Dictionary, Merriam-Webster, https://www.merriam-webster.com/dictionary/standard%20error. Accessed 6 Jul. 2026.

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