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Central Tendencyhard
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A dataset X={x1,x2,…,xn}X = \{x_1, x_2, \dots, x_n\}X={x1​,x2​,…,xn​} has a mean μ=50\mu = 50μ=50 and variance σ2=25\sigma^2 = 25σ2=25. If we transform the dataset to Y={y1,y2,…,yn}Y = \{y_1, y_2, \dots, y_n\}Y={y1​,y2​,…,yn​} using yi=3−2xiy_i = 3 - 2x_iyi​=3−2xi​, what are the mean μY\mu_YμY​ and variance σY2\sigma_Y^2σY2​ of YYY?