Chebyshev's Inequality states that in any probability distribution, no more than $$\frac{1}{k^2}$$ of the values can be more than $$k$$ standard deviations away from the mean. This is a powerful tool in statistics as it applies to all distributions regardless of their shape, emphasizing the reliability of the mean as a measure of central tendency. This inequality helps in assessing how spread out the values in a dataset can be, especially when dealing with limited information about the distribution.
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