Ononot — A dataset X = \{x1, x2, \dots, xn\} has a mean \mu = 20 and

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Central Tendencyhard

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A dataset $X = \{x_1, x_2, \dots, x_n\}$ has a mean $\mu = 20$ and variance $\sigma^2 = 16$ . If every observation $x_i$ is transformed by the linear function $y_i = -3x_i + 10$ , what are the new mean $\mu_y$ and the new variance $\sigma_y^2$ ?