Ononot — A dataset X has mean \mu = 20 and variance \sigma^2 = 16. If

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Central Tendencyhard

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A dataset $X$ has mean $\mu = 20$ and variance $\sigma^2 = 16$ . If we apply the linear transformation $Y = aX + b$ , where $a = -3$ and $b = 10$ , what are the new mean $\mu_Y$ and variance $\sigma_Y^2$ ?