Calculate mean deviation about median
Scores $145$ $155$ $165$ $175$ $185$ $195$
Frequency $4$ $6$ $10$ $18$ $9$ $3$

11.56

No worries! We‘ve got your back. Try BYJU‘S free classes today!

6.66

No worries! We‘ve got your back. Try BYJU‘S free classes today!

11.25

No worries! We‘ve got your back. Try BYJU‘S free classes today!

10.56

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

The correct option is D $10.56$
$x_{i}$ $f_{i}$ $f_{i} x_{i}$ $| x_{i} - M e a n |$ $f_{i} | x_{i} - M e a n |$
$145$ $4$ $580$ $26.2$ $104.8$
$155$ $6$ $930$ $16.2$ $97.2$
$165$ $10$ $1650$ $6.2$ $62$
$175$ $18$ $3150$ $3.8$ $68.4$
$185$ $9$ $1665$ $13.8$ $124.2$
$195$ $3$ $585$ $23.8$ $71.4$

$n = 50$ $\sum f_{i} x_{i} = 8560$ $\sum f_{i} | x_{i} - M e a n | = 528$
Mean $= \frac{\sum f_{i} x_{i}}{n} = \frac{8560}{50} = 171.2$

mean deviation about mean $= \frac{\sum f_{i} | x_{i} - M e a n |}{n} = \frac{528}{50} = 10.56$

Suggest Corrections

Similar questions

Calculate the median from the following data:

$\begin{matrix} Height (in cm) & 135 - 140 & 140 - 145 & 145 - 150 & 150 - 155 & 155 - 160 & 160 - 165 & 165 - 170 & 170 - 175 Number of days & 6 & 10 & 18 & 22 & 20 & 15 & 6 & 3 \end{matrix}$

Q. For the following distribution, calculate the range of data.

Class Interval	$116 - 125$	$126 - 135$	$136 - 145$	$146 - 155$	$156 - 165$	$166 - 175$
Frequency	$5$	$9$	$13$	$7$	$11$	$6$

Q. Present the data given in the table below in the form of a Histogram :

Mid-points	:	115	125	135	145	155	165	175	185	195
Frequency	:	6	25	48	72	116	60	38	22	3

Q. Consider the frequency distribution of the height of clan:-
Find median class

Height $c m$	$150 - 155$	$155 - 160$	$160 - 165$	$165 - 170$	$170 - 175$	$175 - 180$
No of student	$16$	$12$	$9$	$7$	$10$	$6$
Cummulative frequency	$16$	$28$	$37$	$44$	$54$	$60$

Q. Calculate Mean deviation from Median for the given data.

Wages(Rs)	$20$	$18$	$16$	$14$	$12$	$10$	$8$	$6$
Frequency	$2$	$4$	$9$	$18$	$27$	$25$	$14$	$1$

Join BYJU'S Learning Program

Scores	$145$	$155$	$165$	$175$	$185$	$195$
Frequency	$4$	$6$	$10$	$18$	$9$	$3$

$x_{i}$	$f_{i}$	$f_{i} x_{i}$	$\| x_{i} - M e a n \|$	$f_{i} \| x_{i} - M e a n \|$
$145$	$4$	$580$	$26.2$	$104.8$
$155$	$6$	$930$	$16.2$	$97.2$
$165$	$10$	$1650$	$6.2$	$62$
$175$	$18$	$3150$	$3.8$	$68.4$
$185$	$9$	$1665$	$13.8$	$124.2$
$195$	$3$	$585$	$23.8$	$71.4$
	$n = 50$	$\sum f_{i} x_{i} = 8560$		$\sum f_{i} \| x_{i} - M e a n \| = 528$

Calculate mean deviation about median Scores145155165175185195Frequency46101893

Calculate mean deviation about median
Scores $145$ $155$ $165$ $175$ $185$ $195$
Frequency $4$ $6$ $10$ $18$ $9$ $3$