normal distribution


Definition of normal distribution

: 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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Philadelphia’s income distribution is remarkably similar to that of small Pennsylvania towns, which if anything are closer to a statistically normal distribution. Elizabeth Currid-halkett, WSJ, "The False Stereotype of Two Americas," 26 Dec. 2018 Pick something like a normal distribution for step sizes and see if this same stuff works. Adam Rogers, WIRED, "What Random Walks in Multiple Dimensions Teach You About Life," 10 Apr. 2018

These example sentences are selected automatically from various online news sources to reflect current usage of the word 'normal distribution.' Views expressed in the examples do not represent the opinion of Merriam-Webster or its editors. Send us feedback.

First Known Use of normal distribution

1897, in the meaning defined above

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The first known use of normal distribution was in 1897

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a strong desire or propensity

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