Chebyshevs Theorem Calculator - Math Celebrity
www.mathcelebrity.com › chebyshevChebyshevs Theorem Calculator. What is the probability that X is within 2 standard deviations of the mean? The Probability that x is within k standard deviations of the mean is denoted as: P (|X - μ| < kσ) ≥ 1 - (1/k 2) Using your input of 2 standard deviations of the mean, let's plug in and evaluate: P (|X - μ| < 2σ) ≥ 1 -. 1. 2 2. P ...
Chebyshev's inequality - Wikipedia
https://en.wikipedia.org/wiki/Chebyshev's_inequalityIn probability theory, Chebyshev's inequality (also called the Bienaymé–Chebyshev inequality) guarantees that, for a wide class of probability distributions, no more than a certain fraction of values can be more than a certain distance from the mean. Specifically, no more than 1/k of the distribution's values can be k or more standard deviationsaway from the mean (or equivalently, over 1 − 1/k of the distribution's values are less than k standard deviations away from the mean)…