Ononot — Given a dataset X with n=20 observations, where \sum{i=1}^{2

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Descriptive Statisticshard

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Given a dataset $X$ with $n=20$ observations, where $\sum_{i=1}^{20} x_i = 100$ and $\sum_{i=1}^{20} x_i^2 = 800$ . If we define a transformed variable $Y = 2X - 5$ , what are the mean $\bar{y}$ and variance $s_y^2$ of the new dataset?