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

$11.28$

Vedclass · Answer

(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$

$x_i$	$5$	$10$	$15$	$20$	$25$
$f_i$	$7$	$4$	$6$	$3$	$5$

$x$	$6$	$12$	$18$	$24$	$30$	$36$	$42$
$f$	$4$	$7$	$9$	$18$	$15$	$10$	$5$

$\text{Marks}$	$10$	$15$	$20$	$25$	$30$
$\text{Number of students}$	$2$	$4$	$6$	$8$	$5$

Marks obtained	$10-20$	$20-30$	$30-40$	$40-50$	$50-60$	$60-70$	$70-80$
No of students	$2$	$3$	$8$	$14$	$8$	$3$	$2$

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

Similar Questions

Find the mean deviation about the mean for the given data:

$x_i$ $5$ $10$ $15$ $20$ $25$

$f_i$ $7$ $4$ $6$ $3$ $5$

In a series of $3n$ observations,if $n$ observations are equal to $a$ and the remaining $2n$ observations are equal to $-2a$,then the mean deviation of the observations about their mean is:

The mean deviation about the median of the following distribution is:
$x$ $6$ $12$ $18$ $24$ $30$ $36$ $42$
$f$ $4$ $7$ $9$ $18$ $15$ $10$ $5$

The mean deviation from the mean of the data given below is
$\text{Marks}$ $10$ $15$ $20$ $25$ $30$
$\text{Number of students}$ $2$ $4$ $6$ $8$ $5$

Find the mean deviation about the mean for the following data.
Marks obtained $10-20$ $20-30$ $30-40$ $40-50$ $50-60$ $60-70$ $70-80$
No of students $2$ $3$ $8$ $14$ $8$ $3$ $2$

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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$