If the variance of the following data : 6, 8, 10, 12, 14, 16, 18,...

The given data is :&

$\text{6, 8, 10, 12, 14, 16, 18, 20, 22, 24}$

∴ \overset{¯}{x} = \dfrac{6 + 8 + 1 0 + 1 2 + 1 4 + 1 6 + 1 8 + 2 0 + 2 2 + 2 4}{1 0}

~ & & & $= \dfrac{1 5 0}{1 0} = 1 5$

The table is as below :

${x}_{i}$	{x}_{i} - \overset{¯}{x}	{\left({x}_{i} - \overset{¯}{x}\right)}^{2}
$6$	$- 9$	$81$
$8$	$- 7$	$49$
$10$	$- 5$	$25$
$12$	$- 3$	$9$
$14$	$- 1$	$1$
$16$	$1$	$1$
$18$	$3$	$9$
$20$	$5$	$25$
$22$	$7$	$49$
$24$	$9$	$81$
$Total$	~	$330$

Hence, Variance \left({σ}^{2}\right) = \dfrac{Σ {\left({x}_{i} - \overset{¯}{x}\right)}^{2}}{\text{n}} = \dfrac{3 3 0}{1 0} = 3 3$ .