Chebyshev’s Inequality

Chebyshev’s Inequality is used to describe the percentage of values in a distribution within an interval centered at the mean.

It states that for a distribution, the percentage of observations that lie within k standard deviations is atleast 1 – 1/k2

This is illustrated below:

Example

The following table shows the minimum number of observations that lie within a certain number of standard deviations of the mean.

Standard Deviations% of observations
1.556%
275%
389%
494%

An important feature of Chebyshev’s Inequality is that it works with any kind of distribution.

Related Downloads

Membership
Learn the skills required to excel in data science and data analytics covering R, Python, machine learning, and AI.
I WANT TO JOIN
JOIN 30,000 DATA PROFESSIONALS

Free Guides - Getting Started with R and Python

Enter your name and email address below and we will email you the guides for R programming and Python.

Saylient AI Logo

Take the Next Step in Your Data Career

Join our membership for lifetime unlimited access to all our data analytics and data science learning content and resources.