While calculating the mean and variance of $10$ readings, a student wrongly used the reading $52$ for the correct reading $25$, the obtained the mean and variance as $45$ and $16$ respectively . Find the correct mean and the variance.

Question

$\begin{array}{1 1}(A)\; 42.3,43.81\\(B)\;67,45\\(C)\;16,10\\(D)\;6,45\end{array}$