Quantitative Methods Q128

128According to Chebyshev’s inequality, in a population of 1000 what is the minimum proportion of observation that must lie within three standard deviations of the mean, regardless of the shape of the distribution?

Option : B
Explanation : Chebyshev's inequality holds for any distribution, regardless of shape, and states that the minimum proportion of observations located within k standard deviations of the mean is equal to 1– 1/k2. In this case, k = 3 and 1– 1/9 = 0.89 or 89%.

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