Let the mean and variance of 12 observations be 9/2 and 4 respectively. Later on, it was observed that two observations were considered as 9 and 10…

Let the mean and variance of $\displaystyle 12$ observations be $\displaystyle \frac{9}{2}$ and $\displaystyle 4$ respectively. Later on, it was observed that two observations were considered as $\displaystyle 9$ and $\displaystyle 10$ instead of $\displaystyle 7$ and $\displaystyle 14$ respectively. If the correct variance is $\displaystyle \frac{m}{n}$, where m and n are coprime, then $\displaystyle \mathrm{m}+\mathrm{n}$ is equal to