Ononot — Given a dataset X = \{x1, x2, \dots, xn\} with mean \mu and

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Central Tendencyhard

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Given a dataset $X = \{x_1, x_2, \dots, x_n\}$ with mean $\mu$ and variance $\sigma^2$ , define $Y = aX + b$ where $a, b \in \mathbb{R}$ . Which of the following statements about the mean $\mu_Y$ and variance $\sigma_Y^2$ are correct?