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Descriptive Statisticshard
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Two independent datasets AAA and BBB are merged. Dataset AAA has nA=10,xˉA=20,σA2=10n_A = 10, \bar{x}_A = 20, \sigma_A^2 = 10nA​=10,xˉA​=20,σA2​=10. Dataset BBB has nB=10,xˉB=30,σB2=20n_B = 10, \bar{x}_B = 30, \sigma_B^2 = 20nB​=10,xˉB​=30,σB2​=20. What is the variance of the combined dataset?