The mean deviation about the mean for the fol | vedclass

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Question

(D) We have the following data.First,calculate the mean $\bar{x}$:$\bar{x} = \frac{\sum x_i f_i}{\sum f_i} = \frac{(2 	imes 2) + (4 	imes 4) + (5

Vedclass · Accepted Answer

$1.733$

Vedclass · Answer

(D) We have the following data.First,calculate the mean $\bar{x}$:$\bar{x} = \frac{\sum x_i f_i}{\sum f_i} = \frac{(2 	imes 2) + (4 	imes 4) + (5 	imes 10) + (7 	imes 8) + (9 	imes 6)}{2 + 4 + 10 + 8 + 6}$$\bar{x} = \frac{4 + 16 + 50 + 56 + 54}{30} = \frac{180}{30} = 6$Now,calculate the mean deviation about the mean using the formula $	ext{M.D.}(\bar{x}) = \frac{\sum f_i |x_i - \bar{x}|}{\sum f_i}$:$	ext{M.D.}(\bar{x}) = \frac{2|2-6| + 4|4-6| + 10|5-6| + 8|7-6| + 6|9-6|}{30}$$	ext{M.D.}(\bar{x}) = \frac{2(4) + 4(2) + 10(1) + 8(1) + 6(3)}{30}$$	ext{M.D.}(\bar{x}) = \frac{8 + 8 + 10 + 8 + 18}{30} = \frac{52}{30} = 1.733$

$x_i$	$2$	$4$	$5$	$7$	$9$
$f_i$	$2$	$4$	$10$	$8$	$6$

${x_i}$	$2$	$5$	$6$	$8$	$10$	$12$
${f_i}$	$2$	$8$	$10$	$7$	$8$	$5$

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

Marks obtained	$0-20$	$20-40$	$40-60$	$60-80$	$80-100$
Number of students	$10$	$8$	$12$	$9$	$11$

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

The mean deviation about the mean for the following data is:
$x_i$ $2$ $4$ $5$ $7$ $9$
$f_i$ $2$ $4$ $10$ $8$ $6$

Similar Questions

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

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

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

Find the mean deviation about the median for the following data: $3, 9, 5, 3, 12, 10, 18, 4, 7, 19, 21$ (in $.27$)

Find the mean deviation about the median for the following data:

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

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

Find the mean deviation about the mean for the following data:
Marks obtained $0-20$ $20-40$ $40-60$ $60-80$ $80-100$
Number of students $10$ $8$ $12$ $9$ $11$

Calculate the mean deviation about the mean for the following frequency distribution:
Class interval $0-4$ $4-8$ $8-12$ $12-16$ $16-20$
Frequency $4$ $6$ $8$ $5$ $2$

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The mean deviation about the mean for the following data is:$x_i$$2$$4$$5$$7$$9$$f_i$$2$$4$$10$$8$$6$