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normal distribution

noun

: a probability density function that approximates the distribution of many random variables (such as the proportion of outcomes of a particular kind in a large number of independent repetitions of an experiment in which the probabilities remain constant from trial to trial) and that has the form {latex}f(x) = \frac{1}{\sqrt{2\pi\sigma^{2}}}e^{-\frac{(x - \mu)^{2}}{2\sigma^{2}}}{/latex} where μ is the mean and σ is the standard deviation compare normal curve

Examples of normal distribution in a Sentence

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The researchers modeled solar variability using a normal distribution with a mean of 80% of nominal irradiance and a standard deviation of 12% to capture seasonal and diurnal shifts. Aman Tripathi, Interesting Engineering, 26 Nov. 2025 In a perfectly symmetric distribution (like a standard normal distribution), the left and right sides mirror each other. Michael Khouw, CNBC, 6 Nov. 2025 One of the most common assumptions in data analysis is that the numbers will follow a normal distribution – a central concept in statistics often known as the bell curve. D. Brian Blank, The Conversation, 5 Aug. 2025 Roth was in part inspired by the Terrifier movies, a slasher franchise made outside normal distribution and marketing channels, and aimed almost exclusively at horror fans. Borys Kit, The Hollywood Reporter, 14 Mar. 2025 See All Example Sentences for normal distribution

Word History

First Known Use

1897, in the meaning defined above

Time Traveler
The first known use of normal distribution was in 1897

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Cite this Entry

“Normal distribution.” Merriam-Webster.com Dictionary, Merriam-Webster, https://www.merriam-webster.com/dictionary/normal%20distribution. Accessed 30 Nov. 2025.

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