Let x 1 , x 2 ......, x n be n observations. Let _ i = x _ i + k for i = 1…

Let x₁, x₂ ......, x_n be n observations. Let \(\omega_{\mathrm{i}}=\ell \mathrm{x}_{\mathrm{i}}+\mathrm{k}\) for
i = 1, 2,.........,n, where l and k are constants. If the mean of x_i’s is 48 and their standard deviation is 12, the mean of \(\omega_{\mathrm{i}}\)’s is 55 and standard deviation of \(\omega_{\mathrm{i}}\)’s is 15 . The values of l and k should be