Chebyshev's Inequality is a statistical theorem that provides a lower bound on the probability that a random variable deviates from its mean by more than a certain number of standard deviations. This inequality holds for any distribution with a finite mean and variance, making it a powerful tool in probability theory and statistics. The key takeaway is that no matter how the data is distributed, a significant portion of the values will lie within a specific range around the mean, which connects to the Law of Large Numbers.
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