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Descriptive Statisticshard
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Two datasets are combined. Dataset A: nA=20,xˉA=50,σA2=10n_A = 20, \bar{x}_A = 50, \sigma_A^2 = 10nA​=20,xˉA​=50,σA2​=10. Dataset B: nB=30,xˉB=60,σB2=15n_B = 30, \bar{x}_B = 60, \sigma_B^2 = 15nB​=30,xˉB​=60,σB2​=15. What is the variance of the combined dataset?