Find the mean deviation about the mean for th | vedclass

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(A) The mean deviation about the mean is calculated as follows:Income$f_i$$x_i$$f_ix_i$$|x_i - \bar{x}|$$f_i|x_i - \bar{x}|$$0-100$$4$$50$$200$$308$$1

Vedclass · Accepted Answer

$157.92$

Vedclass · Answer

(A) The mean deviation about the mean is calculated as follows:Income$f_i$$x_i$$f_ix_i$$|x_i - \bar{x}|$$f_i|x_i - \bar{x}|$$0-100$$4$$50$$200$$308$$1232$$100-200$$8$$150$$1200$$208$$1664$$200-300$$9$$250$$2250$$108$$972$$300-400$$10$$350$$3500$$8$$80$$400-500$$7$$450$$3150$$92$$644$$500-600$$5$$550$$2750$$192$$960$$600-700$$4$$650$$2600$$292$$1168$$700-800$$3$$750$$2250$$392$$1176$Total$50$-$17900$-$7896$$N = \sum f_i = 50$Mean $\bar{x} = \frac{\sum f_ix_i}{N} = \frac{17900}{50} = 358$Mean Deviation about mean $= \frac{\sum f_i|x_i - \bar{x}|}{N} = \frac{7896}{50} = 157.92$

Find the mean deviation about the mean for the following data:
Income per day Number of persons
$0-100$ $4$
$100-200$ $8$
$200-300$ $9$
$300-400$ $10$
$400-500$ $7$
$500-600$ $5$
$600-700$ $4$
$700-800$ $3$

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The mean deviation from the median for the following distribution (corrected to $2$ decimals) is
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Income per day	Number of persons
$0-100$	$4$
$100-200$	$8$
$200-300$	$9$
$300-400$	$10$
$400-500$	$7$
$500-600$	$5$
$600-700$	$4$
$700-800$	$3$

$x_i$	$3$	$6$	$9$	$12$	$13$	$15$	$21$	$22$
$f_i$	$3$	$4$	$5$	$2$	$4$	$5$	$4$	$3$

Find the mean deviation about the mean for the following data:Income per dayNumber of persons$0-100$$4$$100-200$$8$$200-300$$9$$300-400$$10$$400-500$$7$$500-600$$5$$600-700$$4$$700-800$$3$