For a statistical data x_1, x_2, …, x_10 of 10 values, a student obtained the mean as 5.5 and Σ_i=1^10 x_i^2=371. He later found that he had noted…

For a statistical data $\displaystyle \mathrm{x}_1, \mathrm{x}_2, \ldots, \mathrm{x}_{10}$ of $\displaystyle 10$ values, a student obtained the mean as $\displaystyle 5.5$ and $\displaystyle \sum_{i=1}^{10} x_i^2=371$. He later found that he had noted two values in the data incorrectly as $\displaystyle 4$ and $\displaystyle 5$, instead of the correct values $\displaystyle 6$ and $\displaystyle 8$ , respectively. The variance of the corrected data is