Let \(x_1, x_2 \ldots, x_{100}\) be in an arithmetic progression, with \(x_1=2\) and their mean equal to \(200.\) If \(y…

Let \(x_1, x_2 \ldots, x_{100}\) be in an arithmetic progression, with \(x_1=2\) and their mean equal to \(200.\) If \(y_{ i }=i\left(x_{ i }-i\right), 1 \leq i \leq 100 ,\) then the mean of \(y_1, y_2, \ldots, y_{100}\) is

[JEE Main 2023, 11 Apr (Shift 1)]