Chebyshev's Theorem Calculator

To get the result, fill out the calculator form and press the Calculate button.

What is the Chebyshev's Theorem?

Chebyshev's Theorem estimates the minimum proportion of observations that fall within a specified number of standard deviations from the mean.

This theorem applies to a broad range of probability distributions. Chebyshev's Theorem is also known as Chebyshev's Inequality

Chebyshev's Theorem Formula

P (∣ X − μ ∣ < kσ)=1 – (1 / k2)

  • P denotes to Chebyshev's Theorem
  • X is the sample
  • μ is the mean
  • μ is the standard deviation
  • K is any positive integer