The variance of the data 2, 4, 6, 8, 10 is - Vidyadip

MCQ

The variance of the data $2, 4, 6, 8, 10$ is

A
$6$
B
$7$
✓
$8$
D
None of these

✓

Answer

Correct option: C.

$8$

c
(c) Here, $\bar x = \frac{{2 + 4 + 6 + 8 + 10}}{5} = 6$

Hence, variance = $\frac{1}{n}\Sigma {({x_i} - \overline x )^2}$

$ = \frac{1}{5}\{ {(2 - 6)^2} + {(4 - 6)^2} + {(6 - 6)^2} + {(8 - 6)^2} + {(10 - 6)^2}\} $

$ = \frac{1}{5}\left\{ {(16 + 4 + 0 + 4 + 16} \right\}$$ = \frac{1}{5}\left\{ {40} \right\}$ $ = 8$.

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