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# Chebyshev's inequality

Will power is to the mind like a strong blind man who carries on his shoulders a lame man who can see.
Arthur Schopenhauer

## English

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### Etymology

From surname of Pafnuty Chebyshev, the discoverer.

### Noun

Chebyshev's inequality

1. (Template loop detected: Template:context 1) The theorem that in any data sample with finite variance, the probability of any random variable X lying within an arbitrary real k number of standard deviations of the mean is 1 / k2, i.e. assuming mean μ and standard deviation σ, the probability Pr is:
$\Pr(\left|X-\mu\right|\geq k\sigma)\leq\frac{1}{k^2}$

## Elsewhere on the web

### En-De

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