Find the mean deviation about the mean for the data: 4, 7, 8, 9, … - Vidyadip

Question

Find the mean deviation about the mean for the data: $4, 7, 8, 9, 10, 12, 13, 17.$

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Answer

Mean of the given data is
$\bar x = \frac{{4 + 7 + 8 + 9 + 10 + 12 + 13 + 17}}{8} = \frac{{80}}{8}$ $= 10$

$x_i$	$\left\| {{x_1} - \bar x} \right\|$
$4$	$6$
$7$	$3$
$8$	$2$
$9$	$1$
$10$	$0$
$12$	$2$
$13$	$3$
$17$	$7$
Total	$24$

M.D. about mean = $\frac{1}{n}\sum\limits_{i = 1}^n {\left| {{x_i} - \bar x} \right|} $
= $\frac{1}{8} \times$ $24 = 3$

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