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Descriptive Statisticshard
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Two datasets A and B have the same number of observations nA=nB=10n_A = n_B = 10nA​=nB​=10. If xˉA=50,σA2=10\bar{x}_A = 50, \sigma_A^2 = 10xˉA​=50,σA2​=10 and xˉB=60,σB2=20\bar{x}_B = 60, \sigma_B^2 = 20xˉB​=60,σB2​=20, what is the variance of the combined dataset?