Find the mean deviation about the mean the data-4-7-8-9-10-12-13-17

Question

Toppr Admin · Accepted Answer

Mean-xAF-xAF-xAF-x-4-7-8-9-10-12-13-178-808-10-xA0-xi-xi-x2212-xAF-xAF-xAF-x-xA0-xA0-46-xA0-xA0-73-xA0-xA0-82-xA0-xA0-91-xA0-xA0-100-xA0-xA0-122-xA0-xA0-133-xA0-xA0-177-xA0-xA0-x2211-xi-x2212-xAF-xAF-xAF-x-24-xA0-x21D2-xA0- Mean deviation about mean -248-3

$x_{i}$	$\| x_{i} - ¯ ¯ ¯ x \|$
$4$	$6$
$7$	$3$
$8$	$2$
$9$	$1$
$10$	$0$
$12$	$2$
$13$	$3$
$17$	$7$
	$\sum \| x_{i} - ¯ ¯ ¯ x \| = 24$

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

$M e a n (¯ ¯ ¯ x) = \frac{4 + 7 + 8 + 9 + 10 + 12 + 13 + 17}{8} = \frac{80}{8} = 10$
$x_{i}$ $| x_{i} - ¯ ¯ ¯ x |$
$4$ $6$
$7$ $3$
$8$ $2$
$9$ $1$
$10$ $0$
$12$ $2$
$13$ $3$
$17$ $7$
$\sum | x_{i} - ¯ ¯ ¯ x | = 24$
$\Rightarrow$ Mean deviation about mean $= \frac{24}{8} = 3$

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

Mean(¯¯¯x)=4+7+8+9+10+12+13+178=808=10 xi|xi−¯¯¯x| 46 73 82 91 100 122 133 177 ∑|xi−¯¯¯x|=24 ⇒ Mean deviation about mean =248=3

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

$M e a n (¯ ¯ ¯ x) = \frac{4 + 7 + 8 + 9 + 10 + 12 + 13 + 17}{8} = \frac{80}{8} = 10$
$x_{i}$ $| x_{i} - ¯ ¯ ¯ x |$
$4$ $6$
$7$ $3$
$8$ $2$
$9$ $1$
$10$ $0$
$12$ $2$
$13$ $3$
$17$ $7$
$\sum | x_{i} - ¯ ¯ ¯ x | = 24$
$\Rightarrow$ Mean deviation about mean $= \frac{24}{8} = 3$