Chebyshev Inequality Theorem Calculator

Online calculator which calculates the probability from the given standard deviation value (K), using Chebyshev Inequality Theorem / Rule.

Probability Chebyshev Rule Calculation

Calculator
Tutorial
Formula

Online calculator which calculates the probability from the given standard deviation value (K), using Chebyshev Inequality Theorem / Rule.

Code to add this calci to your website Expand embed code

Formula :

Probability P( X - μ < 2σ) = 1 - ( 1 / K² ) Where, K = Standard Deviation

Example:

Chebyshev's Inequality Theorem

Calculate probability, If the standard deviation is 12.

    P(X - μ < 2σ) = 1 - ( 1 / 12 ² )
    P(X - μ < 2σ) = 1 - ( 1 / 144 )
    P(X - μ < 2σ) = 1 - 0.00694
    P(X - μ < 2σ) = 0.99305
    P(X - μ < 2σ) = 99.31 %

Therefore, probability is 99.31 %