### Statistics: Tchebychev inequality for samples

The Tchebychev inequality can also be stated in the following way: For any random variable x with mean equal to μ and variance equal to Δ². The minimum probability of X belong to the interval X?[ μ-k, μ+k] is at least: P( | X- μ|<k ≥ 1-( Δ/k²) Suppose that the random variables x1, x2, x3... xn form a random sa