The mean deviation about the mean of the foll | vedclass

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(D) First,we calculate the mean $(\bar{x})$ of the given data:$\bar{x} = \frac{\Sigma f x}{\Sigma f} = \frac{(1 	imes 3) + (3 	imes 3) + (5 	imes 4

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$2.95$

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(D) First,we calculate the mean $(\bar{x})$ of the given data:$\bar{x} = \frac{\Sigma f x}{\Sigma f} = \frac{(1 	imes 3) + (3 	imes 3) + (5 	imes 4) + (7 	imes 14) + (9 	imes 7) + (11 	imes 4) + (13 	imes 3) + (15 	imes 4)}{3 + 3 + 4 + 14 + 7 + 4 + 3 + 4}$$\bar{x} = \frac{3 + 9 + 20 + 98 + 63 + 44 + 39 + 60}{42} = \frac{336}{42} = 8$Now,we calculate the mean deviation about the mean using the formula: $	ext{M.D.}(\bar{x}) = \frac{\Sigma f|x - \bar{x}|}{N}$Calculating $|x - \bar{x}|$ for each $x$:$|1-8|=7, |3-8|=5, |5-8|=3, |7-8|=1, |9-8|=1, |11-8|=3, |13-8|=5, |15-8|=7$Calculating $\Sigma f|x - \bar{x}|$:$(3 	imes 7) + (3 	imes 5) + (4 	imes 3) + (14 	imes 1) + (7 	imes 1) + (4 	imes 3) + (3 	imes 5) + (4 	imes 7)$$= 21 + 15 + 12 + 14 + 7 + 12 + 15 + 28 = 124$$	herefore 	ext{M.D.}(\bar{x}) = \frac{124}{42} \approx 2.95$

Size $(x)$	$1$	$3$	$5$	$7$	$9$	$11$	$13$	$15$
Frequency $(f)$	$3$	$3$	$4$	$14$	$7$	$4$	$3$	$4$

Marks obtained	$10-20$	$20-30$	$30-40$	$40-50$	$50-60$	$60-70$	$70-80$
No of students	$2$	$3$	$8$	$14$	$8$	$3$	$2$

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

The mean deviation about the mean of the following data is nearly:
Size $(x)$ $1$ $3$ $5$ $7$ $9$ $11$ $13$ $15$
Frequency $(f)$ $3$ $3$ $4$ $14$ $7$ $4$ $3$ $4$

Similar Questions

Find the mean deviation about the mean for the following data.
Marks obtained $10-20$ $20-30$ $30-40$ $40-50$ $50-60$ $60-70$ $70-80$
No of students $2$ $3$ $8$ $14$ $8$ $3$ $2$

If the mean deviation of the numbers $1, 1+d, 1+2d, \dots, 1+100d$ from their mean is $255$,then $d$ is equal to:

The approximate value of the mean deviation about the mean for the following data is
Class Interval $0-2$ $2-4$ $4-6$ $6-8$ $8-10$
Frequency $1$ $2$ $3$ $2$ $1$

If $M_1$ and $M_2$ are the mean deviations from the mean and median of the first $15$ even integers,then $M_1+M_2=$

Calculate the mean deviation about the mean of the set of first $n$ natural numbers when $n$ is an odd number.

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The mean deviation about the mean of the following data is nearly:Size $(x)$$1$$3$$5$$7$$9$$11$$13$$15$Frequency $(f)$$3$$3$$4$$14$$7$$4$$3$$4$