Free Chebyshevs Theorem Calculator - Using Chebyshevs Theorem, this calculates the following:

Probability that random variable X is within k standard deviations of the mean.

How many k standard deviations within the mean given a P(X) value.

This calculator has 2 inputs.

Probability that random variable X is within k standard deviations of the mean.

How many k standard deviations within the mean given a P(X) value.

This calculator has 2 inputs.

P(|X - μ|) ≥ kσ) ≤ 1/k^{2For more math formulas, check out our Formula Dossier}

- absolute value
- A positive number representing the distance from 0 on a number line
- chebyshevs theorem
- estimates the minimum proportion of observations that fall within a specified number of standard deviations from the mean.

P(|X - μ|) ≥ kσ) ≤ 1/k^{2} - mean
- A statistical measurement also known as the average
- probability
- the likelihood of an event happening. This value is always between 0 and 1.

P(Event Happening) = Number of Ways the Even Can Happen / Total Number of Outcomes - standard deviation
- a measure of the amount of variation or dispersion of a set of values. The square root of variance
- theorem
- A statement provable using logic