If the mean of $n$ observation $ 1^2, 2^2, 3^2.....n^2$ is $ \large\frac{46n}{11}$ then $n$ is equal to

Question

$\begin {array} {1 1} (A)\;11 & \quad (B)\;12 \\ (C)\;23 & \quad (D)\;22 \end {array}$