The mean deviation about the mean for the fol | vedclass

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(B) Step $1$: Find the mid-points $(x_i)$ of each class interval: $1, 3, 5, 7, 9$. Step $2$: Calculate the mean $(\bar{x})$: $\bar{x} = \frac{\sum f_i

Vedclass · Accepted Answer

$\frac{20}{11}$

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(B) Step $1$: Find the mid-points $(x_i)$ of each class interval: $1, 3, 5, 7, 9$. Step $2$: Calculate the mean $(\bar{x})$: $\bar{x} = \frac{\sum f_i x_i}{\sum f_i} = \frac{(1 	imes 1) + (3 	imes 3) + (4 	imes 5) + (1 	imes 7) + (2 	imes 9)}{1+3+4+1+2} = \frac{1+9+20+7+18}{11} = \frac{55}{11} = 5$. Step $3$: Calculate the mean deviation about the mean $(M.D.(\bar{x}))$: $M.D.(\bar{x}) = \frac{\sum f_i |x_i - \bar{x}|}{\sum f_i} = \frac{1|1-5| + 3|3-5| + 4|5-5| + 1|7-5| + 2|9-5|}{11} = \frac{1(4) + 3(2) + 4(0) + 1(2) + 2(4)}{11} = \frac{4+6+0+2+8}{11} = \frac{20}{11}$.

Class Interval	$0$–$2$	$2$–$4$	$4$–$6$	$6$–$8$	$8$–$10$
Frequency	$1$	$3$	$4$	$1$	$2$

Class interval	Frequency
$0-2$	$1$
$2-4$	$3$
$4-6$	$5$
$6-8$	$3$
$8-10$	$1$

The mean deviation about the mean for the following data is
Class Interval $0$–$2$ $2$–$4$ $4$–$6$ $6$–$8$ $8$–$10$
Frequency $1$ $3$ $4$ $1$ $2$

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The mean deviation about the mean for the following data is
Class interval Frequency
$0-2$ $1$
$2-4$ $3$
$4-6$ $5$
$6-8$ $3$
$8-10$ $1$

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The mean deviation about the mean for the following data is Class Interval$0$–$2$$2$–$4$$4$–$6$$6$–$8$$8$–$10$Frequency$1$$3$$4$$1$$2$