Descriptive Statisticsmedium
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Two datasets, A and B, are combined. Dataset A has nA=10n_A = 10 and a mean xˉA=20\bar{x}_A = 20. Dataset B has nB=15n_B = 15 and a mean xˉB=30\bar{x}_B = 30. If the combined dataset has a total sum of squares (xixˉcombined)2=450\sum (x_i - \bar{x}_{combined})^2 = 450 and the variance of dataset A is sA2=4s_A^2 = 4 and the variance of dataset B is sB2=6s_B^2 = 6, what is the variance of the combined dataset?