Find the mean deviation about the mean for th | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(A) The mean deviation about the mean is calculated as follows:Income$f_i$$x_i$$f_ix_i$$|x_i - \bar{x}|$$f_i|x_i - \bar{x}|$$0-100$$4$$50$$200$$308$$1

Vedclass · Accepted Answer

$157.92$

Vedclass · Answer

(A) The mean deviation about the mean is calculated as follows:Income$f_i$$x_i$$f_ix_i$$|x_i - \bar{x}|$$f_i|x_i - \bar{x}|$$0-100$$4$$50$$200$$308$$1232$$100-200$$8$$150$$1200$$208$$1664$$200-300$$9$$250$$2250$$108$$972$$300-400$$10$$350$$3500$$8$$80$$400-500$$7$$450$$3150$$92$$644$$500-600$$5$$550$$2750$$192$$960$$600-700$$4$$650$$2600$$292$$1168$$700-800$$3$$750$$2250$$392$$1176$Total$50$-$17900$-$7896$$N = \sum f_i = 50$Mean $\bar{x} = \frac{\sum f_ix_i}{N} = \frac{17900}{50} = 358$Mean Deviation about mean $= \frac{\sum f_i|x_i - \bar{x}|}{N} = \frac{7896}{50} = 157.92$

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 following data:
Income per day Number of persons
$0-100$ $4$
$100-200$ $8$
$200-300$ $9$
$300-400$ $10$
$400-500$ $7$
$500-600$ $5$
$600-700$ $4$
$700-800$ $3$

Similar Questions

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

$x_i$ $15$ $21$ $27$ $30$ $35$

$f_i$ $3$ $5$ $6$ $7$ $8$

If the mean deviation of the data $1, 1+d, 1+2d, \ldots, 1+100d$ $(d > 0)$ from their mean is $255$,then $d$ is equal to:

What is the mean deviation of the numbers $1, 2, 3, 4, 5$?

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 $4$ $6$ $8$ $5$ $2$

Find the mean deviation about the mean for the data $38, 70, 48, 40, 42, 55, 63, 46, 54, 44$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module

Income per day	Number of persons
$0-100$	$4$
$100-200$	$8$
$200-300$	$9$
$300-400$	$10$
$400-500$	$7$
$500-600$	$5$
$600-700$	$4$
$700-800$	$3$

Find the mean deviation about the mean for the following data:Income per dayNumber of persons$0-100$$4$$100-200$$8$$200-300$$9$$300-400$$10$$400-500$$7$$500-600$$5$$600-700$$4$$700-800$$3$