Ononot — A dataset X has a mean \bar{x} = 10, variance \sigma^2 = 4,

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Descriptive Statisticshard

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A dataset $X$ has a mean $\bar{x} = 10$ , variance $\sigma^2 = 4$ , and skewness $\gamma_1 = 0.5$ . If every observation $x_i$ is transformed by $y_i = -2x_i + 5$ , what are the new mean $\bar{y}$ , variance $\sigma_y^2$ , and skewness $\gamma_{y}$ ?