Find mean deviation from the mean for the given data
Item $8$ $10$ $12$ $14$ $16$ $18$
Frequency $10$ $5$ $11$ $7$ $8$ $9$

2.12

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3.04

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10.45

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5.76

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Solution

The correct option is B $3.04$
$x_{i}$ $f_{i}$ $f_{i} x_{i}$ $| x_{i} - Mean |$ $f_{i} | x_{i} - Mean |$
$8$ $10$ $80$ $5$ $50$
$10$ $5$ $50$ $3$ $15$
$12$ $11$ $132$ $1$ $11$
$14$ $7$ $98$ $1$ $7$
$16$ $8$ $128$ $3$ $24$
$18$ $9$ $162$ $5$ $45$
$n = 50$ $\sum f_{i} x_{i} = 650$ $\sum f_{i} | x_{i} - Mean | = 152$
Mean $= \frac{\sum f_{i} x_{i}}{n} = \frac{650}{50} = 13$
Mean deviation from mean $= \frac{\sum f_{i} | x_{i} - Mean |}{n} = \frac{152}{50} = 3.04$

Suggest Corrections

Score $(x)$	$6$	$20$	$8$	$18$	$16$	$12$	$14$	$10$
Frequency $(f)$	$2$	$7$	$11$	$27$	$18$	$13$	$17$	$5$

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