The table given shows the calculation of the variance and standard deviation of a given sample.
The formula for the variance is given as shown below;
[tex]\begin{gathered} S^2=\frac{\Sigma(x_i-\mu)^2}{n-1} \\ \text{Where;} \\ S^2=S\tan dard\text{ deviation} \\ \Sigma=Summation(addition) \\ x_i=value\text{ from observed data} \\ \mu=\operatorname{mean}\text{ from the observed data} \\ n=\text{sample size} \end{gathered}[/tex]When we substitute for the values given, this becomes;
[tex]\begin{gathered} S^2=\frac{\Sigma(x_i-\mu)^2}{6-1} \\ S^2=\frac{361+196+4+36+9+16}{5} \\ S^2=\frac{622}{5} \\ S^2=124.4 \end{gathered}[/tex]Therefore, the missing value is 622.
This is the addition of each observed data minus the mean (that is, the addition of the third column).