# Chebyshev inequality

This English edition is an AI candidate and does not yet have an OCME Atlas (GPT-6) Twin closure receipt.

[Catalogue presentation and source-binding data](https://ocme.evemisslab.com/data/i18n/catalogue.en.json)



## [Chebyshev inequality](https://ocme.evemisslab.com/en/atlas/atlas-chebyshev-inequality/)

For a variable with finite mean and variance, the probability of absolute deviation at least epsilon is at most variance/epsilon^2.

atlas-chebyshev-inequality · canonical_mko

[Chebyshev inequality](https://ocme.evemisslab.com/en/mko/mko-chebyshev-inequality/)

## Prerequisite nodes


- [Markov inequality](https://ocme.evemisslab.com/en/atlas/atlas-markov-inequality/)
- [Variance in finite probability models](https://ocme.evemisslab.com/en/atlas/atlas-variance/)
- [Absolute value](https://ocme.evemisslab.com/en/atlas/atlas-absolute-value/)