Find the mean deviation about the mean for th | vedclass

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(A) First,calculate the mean $\bar{x}$:$\bar{x} = \frac{\sum f_i x_i}{\sum f_i} = \frac{(10 	imes 4) + (30 	imes 24) + (50 	imes 28) + (70 	imes 1

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$16$

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(A) First,calculate the mean $\bar{x}$:$\bar{x} = \frac{\sum f_i x_i}{\sum f_i} = \frac{(10 	imes 4) + (30 	imes 24) + (50 	imes 28) + (70 	imes 16) + (90 	imes 8)}{4 + 24 + 28 + 16 + 8} = \frac{40 + 720 + 1400 + 1120 + 720}{80} = \frac{4000}{80} = 50$.Now,calculate the mean deviation about the mean $M.D.(\bar{x}) = \frac{\sum f_i |x_i - \bar{x}|}{\sum f_i}$:$x_i$$f_i$$|x_i - 50|$$f_i |x_i - 50|$$10$$4$$40$$160$$30$$24$$20$$480$$50$$28$$0$$0$$70$$16$$20$$320$$90$$8$$40$$320$Total$80$-$1280$$M.D.(\bar{x}) = \frac{1280}{80} = 16$.

Class	$0-10$	$10-20$	$20-30$	$30-40$	$40-50$	$50-60$
Freq	$6$	$7$	$15$	$16$	$4$	$2$

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

Find the mean deviation about the mean for the given data:
$x_i$ $10$ $30$ $50$ $70$ $90$
$f_i$ $4$ $24$ $28$ $16$ $8$

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Find the mean deviation about the mean for the given data:$x_i$$10$$30$$50$$70$$90$$f_i$$4$$24$$28$$16$$8$