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Descriptive Statisticshard
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Given a dataset XXX with n=10n=10n=10 observations, where ∑i=110xi=100\sum_{i=1}^{10} x_i = 100∑i=110​xi​=100 and ∑i=110xi2=1200\sum_{i=1}^{10} x_i^2 = 1200∑i=110​xi2​=1200. If we transform the data by yi=3xi−5y_i = 3x_i - 5yi​=3xi​−5, what is the variance σy2\sigma_y^2σy2​ of the new dataset?