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:Height $(cm)$$f_i$$x_i$$f_i x_i$$|x_i - \bar{x}|$$f_i |x_i - \bar{x}|$$95-105$$9$$100$$

Vedclass · Accepted Answer

$11.28$

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(A) The mean deviation about the mean is calculated as follows:Height $(cm)$$f_i$$x_i$$f_i x_i$$|x_i - \bar{x}|$$f_i |x_i - \bar{x}|$$95-105$$9$$100$$900$$25.3$$227.7$$105-115$$13$$110$$1430$$15.3$$198.9$$115-125$$26$$120$$3120$$5.3$$137.8$$125-135$$30$$130$$3900$$4.7$$141.0$$135-145$$12$$140$$1680$$14.7$$176.4$$145-155$$10$$150$$1500$$24.7$$247.0$Total$N=100$-$12530$-$1128.8$$	ext{Mean } \bar{x} = \frac{\sum f_i x_i}{N} = \frac{12530}{100} = 125.3$$	ext{Mean Deviation } (M.D.) = \frac{\sum f_i |x_i - \bar{x}|}{N} = \frac{1128.8}{100} = 11.28$

Find the mean deviation about the mean for the following data:
Height in $cm$ Number of boys
$95-105$ $9$
$105-115$ $13$
$115-125$ $26$
$125-135$ $30$
$135-145$ $12$
$145-155$ $10$

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Height in $cm$	Number of boys
$95-105$	$9$
$105-115$	$13$
$115-125$	$26$
$125-135$	$30$
$135-145$	$12$
$145-155$	$10$

Find the mean deviation about the mean for the following data:Height in $cm$Number of boys$95-105$$9$$105-115$$13$$115-125$$26$$125-135$$30$$135-145$$12$$145-155$$10$