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Descriptive Statisticshard
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Two independent datasets AAA and BBB are combined. Dataset AAA has nA=20,xˉA=10,σA2=4n_A = 20, \bar{x}_A = 10, \sigma_A^2 = 4nA​=20,xˉA​=10,σA2​=4. Dataset BBB has nB=30,xˉB=20,σB2=9n_B = 30, \bar{x}_B = 20, \sigma_B^2 = 9nB​=30,xˉB​=20,σB2​=9. What is the variance of the combined dataset?