Find Mean Deviation from Median for the given data
$x$ $10$ $20$ $30$ $40$ $50$ $60$
$f$ $9$ $18$ $25$ $27$ $14$ $7$

18.45

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16.65

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10.5

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11.36

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Solution

The correct option is D $11.36$
$x_{i}$ $f_{i}$ $f_{i} x_{i}$ $| x_{i} - Mean |$ $f_{i} | x_{i} - Mean |$
$10$ $9$ $90$ $24$ $216$
$20$ $18$ $360$ $14$ $252$
$30$ $25$ $750$ $4$ $100$
$40$ $27$ $1080$ $6$ $162$
$50$ $14$ $700$ $16$ $224$
$60$ $7$ $420$ $26$ $182$
Mean $= \frac{\sum f_{i}}{n} = \frac{3400}{100} = 34$
Mean deviation about mean $= \frac{\sum f_{i} | x_{i} - Mean |}{n} = \frac{1136}{100} = 11.36$

Suggest Corrections

$x$	$0 - 10$	$10 - 20$	$20 - 30$	$30 - 40$	$40 - 50$
$f$	$5$	$8$	$15$	$16$	$6$

$C I$	$20 - 30$	$30 - 40$	$40 - 50$	$50 - 60$	$60 - 70$	$70 - 80$
$f$	$9$	$18$	$7$	$21$	$11$	$4$

$C I$	$5 - 10$	$10 - 15$	$15 - 20$	$20 - 25$	$25 - 30$
$f$	$5$	$12$	$3$	$11$	$9$

X	0−10	10−20	20−30	30−40	40−50	50−60
F	3	5	7	2	9	4

Wages(Rs)	$20$	$18$	$16$	$14$	$12$	$10$	$8$	$6$
Frequency	$2$	$4$	$9$	$18$	$27$	$25$	$14$	$1$