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Chebyshev's inequality

Chebyshev's inequality proper noun: the theorem that in any data sample with finite variance, the probability of any random variable X that lies k or more standard deviations away from the mean is no more than 1/k², i.e. assuming mean μ and standard deviation σ, the probability is.

Proper noun

Chebyshev's inequality

  1. The theorem that in any data sample with finite variance, the probability of any random variable X that lies k or more standard deviations away from the mean is no more than 1/k², i.e. assuming mean μ and standard deviation σ, the probability is
    • Pr (|X-μ|≥kσ)≤1/(k²)

Forms of Chebyshev's inequality

alternative formChebyshev inequality
alternative formTchebycheff inequality
alternative formTchebycheff's inequality

Origin of Chebyshev's inequality

From the surname of Russian mathematician Pafnuty Chebyshev (1821–1894), the discoverer.

Questions about Chebyshev's inequality

What does Chebyshev's inequality mean?
Chebyshev's inequality means the theorem that in any data sample with finite variance, the probability of any random variable X that lies k or more standard deviations away from the mean is no more than 1/k², i.e. assuming mean μ and standard deviation σ, the probability is.
What part of speech is Chebyshev's inequality?
Chebyshev's inequality is a proper noun.

Words near Chebyshev's inequality in the dictionary

  1. Chebyshev distance
  2. Chebyshev distances
  3. Chebyshev space
  4. Chebyshev spaces
  5. Chebyshev's bias
  6. Chebyshev's inequality
  7. Chebyshev's theorem
  8. Chece
  9. Checes
  10. chechako
  11. chechakoes

Source and license

Adapted from Wiktionary: Chebyshev's inequality (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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