For a statistical data \({x}_{1},{x}_{2},\ldots ,{x}_{10}\) of 10 values, a student obtained the mean as \(5.5\) and \(\…

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

[JEE Main 2025, 24 Jan (Shift 1)]