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

Vedclass · Accepted Answer

$2.3$

Vedclass · Answer

(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			$40$			-			$92$			$M.D.(\bar{x}) = \frac{92}{40} = 2.3$

$x_i$	$3$	$6$	$9$	$12$	$13$	$15$	$21$	$22$
$f_i$	$3$	$4$	$5$	$2$	$4$	$5$	$4$	$3$

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

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

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

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 median for the following data:

$x_i$ $3$ $6$ $9$ $12$ $13$ $15$ $21$ $22$

$f_i$ $3$ $4$ $5$ $2$ $4$ $5$ $4$ $3$

The mean deviation from the mean for the observations $1, 3, 5, 7, 11, 13, 17, 19, 23$ is

Calculate the mean deviation about the median for the following data:
Class $0-10$ $10-20$ $20-30$ $30-40$ $40-50$ $50-60$
Freq $6$ $7$ $15$ $16$ $4$ $2$

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