Let the observations \(x_i(1 \leq i \leq 10)\) satisfy the equations, \(\sum_{i=1}^{10}\left(x_i-5\right)=10\) and \(\su…

Let the observations \(x_i(1 \leq i \leq 10)\) satisfy the equations, \(\sum_{i=1}^{10}\left(x_i-5\right)=10\) and \(\sum_{i=1}^{10}\left(x_i-5\right)^2=40\). If \(\mu\) and \(\lambda\) are the mean and the variance of the observations, \(x_1-3, x_2-3\), \(\ldots x_{10}-3\), then the ordered pair \((\mu, \lambda)\) is equal to:

[JEE Main 2020, 9 Jan (Shift 1)]