Find the mean deviation about the mean for th | vedclass

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(A) First,we calculate the mean $\bar{x}$ of the given data:$\bar{x} = \frac{\sum f_i x_i}{\sum f_i} = \frac{(2 	imes 2) + (5 	imes 8) + (6 	imes

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$2.3$

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(A) First,we calculate the mean $\bar{x}$ of the given data:$\bar{x} = \frac{\sum f_i x_i}{\sum f_i} = \frac{(2 	imes 2) + (5 	imes 8) + (6 	imes 10) + (8 	imes 7) + (10 	imes 8) + (12 	imes 5)}{2 + 8 + 10 + 7 + 8 + 5} = \frac{4 + 40 + 60 + 56 + 80 + 60}{40} = \frac{300}{40} = 7.5$Next,we calculate the mean deviation about the mean using the formula $M.D.(\bar{x}) = \frac{\sum f_i |x_i - \bar{x}|}{N}$:						$x_i$			$f_i$			$|x_i - 7.5|$			$f_i |x_i - 7.5|$							$2$			$2$			$5.5$			$11$							$5$			$8$			$2.5$			$20$							$6$			$10$			$1.5$			$15$							$8$			$7$			$0.5$			$3.5$							$10$			$8$			$2.5$			$20$							$12$			$5$			$4.5$			$22.5$							Total			$40$			-			$92$			$M.D.(\bar{x}) = \frac{92}{40} = 2.3$

Class interval	$0$-$10$	$10$-$20$	$20$-$30$	$30$-$40$	$40$-$50$	$50$-$60$	$60$-$70$
Frequency	$4$	$6$	$16$	$28$	$16$	$6$	$4$

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:

${x_i}$ $2$ $5$ $6$ $8$ $10$ $12$

${f_i}$ $2$ $8$ $10$ $7$ $8$ $5$

Similar Questions

Find the mean deviation about the mean for the following data:
Class interval $0$-$10$ $10$-$20$ $20$-$30$ $30$-$40$ $40$-$50$ $50$-$60$ $60$-$70$
Frequency $4$ $6$ $16$ $28$ $16$ $6$ $4$

Find the mean deviation about the median for the data: $13, 17, 16, 14, 11, 13, 10, 16, 11, 18, 12, 17$.

If the mean of $4, 7, 2, 8, 6$ and $a$ is $7$,then the mean deviation from the median of these observations is

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

The mean of $5$ observations is $5$ and their variance is $124$. If three of the observations are $1, 2$ and $6$,then the mean deviation from the mean of the data is:

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Find the mean deviation about the mean for the following data: ${x_i}$ $2$ $5$ $6$ $8$ $10$ $12$ ${f_i}$ $2$ $8$ $10$ $7$ $8$ $5$