The mean deviation about the mean of the following data is?

$x_1$	3	9	17	23	27
$f_1$	8	10	12	9	5

Given data is

$x_i$	$3$	$9$	$17$	$23$	$27$
$f_i$	$8$	$10$	$12$	$9$	$5$

$x_i$	$f_i$	$f_ix_i$	$|x_i - \bar{x}|$	$f_i |x_i - \bar{x}|$
$3$ $9$ $17$ $23$ $27$	$8$ $10$ $12$ $9$ $5$	$24$ $90$ $204$ $207$ $137$	$12$ $6$ $2$ $8$ $12$	$96$ $60$ $24$ $72$ $60$
	$N = 44$	$\sum f_ix_i = 660$		$\sum f_i |x_i - \bar{x}| = 312$

Mean $\bar{x} = \dfrac{\sum f_i x_i}{N}$

$= \dfrac{660}{44}$

$\Rightarrow \bar{x} = 15$

Mean deviation $= \dfrac{\sum f_i |x_i - \bar{x}|}{N}$

$= \dfrac{312}{44}$

$\Rightarrow$ Mean deviation $= 7.09$.

$\therefore$ Mean deviation about mean of the following data is $7.09$ is correct answer.