Find the mean deviation about the median for | vedclass

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(A) The number of observations $n = 11$,which is odd.Arranging the data in ascending order: $3, 3, 4, 5, 7, 9, 10, 12, 18, 19, 21$.Median $(M) = \left

Vedclass · Accepted Answer

$5$

Vedclass · Answer

(A) The number of observations $n = 11$,which is odd.Arranging the data in ascending order: $3, 3, 4, 5, 7, 9, 10, 12, 18, 19, 21$.Median $(M) = \left(\frac{n+1}{2}ight)^{	ext{th}}$ observation $= 6^{	ext{th}}$ observation $= 9$.The absolute deviations $|x_i - M|$ are:$|3-9|=6, |3-9|=6, |4-9|=5, |5-9|=4, |7-9|=2, |9-9|=0, |10-9|=1, |12-9|=3, |18-9|=9, |19-9|=10, |21-9|=12$.Sum of absolute deviations $\sum |x_i - M| = 6 + 6 + 5 + 4 + 2 + 0 + 1 + 3 + 9 + 10 + 12 = 58$.Mean Deviation about median $= \frac{1}{n} \sum |x_i - M| = \frac{58}{11} \approx 5.27$.

$x_i$	$6$	$12$	$18$	$24$	$30$	$36$	$42$
$f_i$	$4$	$7$	$9$	$18$	$15$	$10$	$5$

Height in $cm$	Number of boys
$95-105$	$9$
$105-115$	$13$
$115-125$	$26$
$125-135$	$30$
$135-145$	$12$
$145-155$	$10$

${x_i}$	$5$	$7$	$9$	$10$	$12$	$15$
${f_i}$	$8$	$6$	$2$	$2$	$2$	$6$

Find the mean deviation about the median for the following data: $3, 9, 5, 3, 12, 10, 18, 4, 7, 19, 21$ (in $.27$)

Similar Questions

For the following distribution,the mean deviation about the median is:
$x_i$ $6$ $12$ $18$ $24$ $30$ $36$ $42$
$f_i$ $4$ $7$ $9$ $18$ $15$ $10$ $5$

If the mean of $4, 7, 2, 8, 6$ and $a$ is $7$,then the mean deviation from the median of these observations is

Find the mean deviation about the mean for the following data:
Height in $cm$ Number of boys
$95-105$ $9$
$105-115$ $13$
$115-125$ $26$
$125-135$ $30$
$135-145$ $12$
$145-155$ $10$

The mean deviation from the median of the data $16, 22, 3, 14, 5, 10, 8, 6, 11, 4$ is

Find the mean deviation about the median for the data.

${x_i}$ $5$ $7$ $9$ $10$ $12$ $15$

${f_i}$ $8$ $6$ $2$ $2$ $2$ $6$

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