Mathematics, 27.01.2020 19:31, danaya111
We have seen that the standard deviation σ measures the spread of a data set about the mean μ. chebyshev’s inequality gives an estimate of how well the standard deviation measures that spread. one consequence of this inequality is that for every data set at least 75% of the data points lie within two standard deviations of the mean, that is, between μ−2σ and μ+2σ (inclusive). for example, if μ = 20 and σ = 5, then at least 75% of the data are at least 20−2×5 = 10 and at most 20+2×5 = 30. our statement of this result says at least 75%, not exactly 75%. consider the following data: 5, 10, 10, 10, 10, 10, 10, 15. the percentage of data points that actually lie within two standard deviation of the mean is %
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We have seen that the standard deviation σ measures the spread of a data set about the mean μ. cheby...
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