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Descriptive Statisticshard
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Consider two independent datasets AAA and BBB. Dataset AAA has nA=20,xˉA=10,sA2=4n_A = 20, \bar{x}_A = 10, s_A^2 = 4nA​=20,xˉA​=10,sA2​=4. Dataset BBB has nB=30,xˉB=20,sB2=9n_B = 30, \bar{x}_B = 20, s_B^2 = 9nB​=30,xˉB​=20,sB2​=9. What is the variance of the combined dataset?