Given that total of 16 values is 528 and sum of the squares of deviation from 33 is 9158. The variance is
Given that total of 16 values is 528 and sum of the squares of deviation from 33 is 9158. The variance is
562.73
570.375
574.375
572.375
Solution
We have $\mathrm{n}=16, \Sigma \mathrm{x}_{\mathrm{i}}=528$, and $\frac{528}{16}=33$ $\Rightarrow \overline{\mathrm{x}}=33$ and $\Sigma\left(\mathrm{x}_{\mathrm{i}}-\overline{\mathrm{x}}\right)^2=9158$
Variance $=\frac{1}{\mathrm{n}} \Sigma\left(\mathrm{x}_{\mathrm{i}}-\overline{\mathrm{x}}\right)^2=\frac{9158}{16}=572.375$