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Descriptive Statisticshard
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Two datasets AAA and BBB have nA=10,xˉA=20,σA2=5n_A=10, \bar{x}_A=20, \sigma_A^2=5nA​=10,xˉA​=20,σA2​=5 and nB=20,xˉB=26,σB2=11n_B=20, \bar{x}_B=26, \sigma_B^2=11nB​=20,xˉB​=26,σB2​=11. If the two datasets are combined into a single set of 303030 values, what is the variance of the combined dataset?