Calculate the mean deviation about mean for the following distrib… - Vidyadip

Question

Calculate the mean deviation about mean for the following distribution:

Class interval	$0-4$	$4-8$	$8-12$	$12-16$	$16-20$
Frequency	$4$	$6$	$8$	$5$	$2$

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Answer

Classes	$f_i$	$x_i$	$f_ix_i$	$\|x_i- 9.2\|$	$f_i\|x_i - 9.2\|$
$0-4$	$4$	$2$	$8$	$7.2$	$28.8$
$4-8$	$6$	$6$	$36$	$3.2$	$19.2$
$8-12$	$8$	$10$	$80$	$0.8$	$6.4$
$12-16$	$5$	$14$	$70$	$4.8$	$24.0$
$16-20$	$2$	$18$	$36$	$8.8$	$17.6$
	$N = 25$		Total $= 230$		Total $= 96.0$

$\text{Mean}=\frac{230}{25}=9.2$
$\text{M.D}=\frac{96}{25}=3.84$

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