The mean deviation about median for the following data is 4.4.calculate value of $x$
$2, 3, x, 10, 17$ .

3

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

5

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

7

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

17

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

Open in App

Solution

The correct option is A $3$
Median $=$ $\frac{N + 1}{2}$ $=$ 3rd term

$\Rightarrow x$ is median

Mean Deviation $=$ $\frac{1}{N} \sum f i | X i - M |$

$4.4 = \frac{| 2 - x | + | 3 - x | + | x - 10 | + | x - 17 |}{5}$

Now as $x > 2$

$| x - 2 |$ $=$ $x - 2$
$22 =$ $x - 2 + | 3 - x + 10 - x + 17 - x |$
$22 =$ $x - 3 x - 2 + 30$
$2 x = 6$
$x = 3$

Suggest Corrections

Similar questions

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

Calculate the mean deviation about median for the following data

$\begin{matrix} X_{i} & 3 & 9 & 10 & 12 & 13 f_{i} & 3 & 4 & 5 & 2 & 4 \end{matrix}$

The runs scored by Virat in 7 different matches are given as:

$89, 91, 54, 66, 13, 97, 06$

Calculate the mean deviation about the median for this data.

Class interval	$2$	$7$	$12$	$17$	$22$	$27$
Frequency	$11$	$12$	$17$	$12$	$20$	$28$

Join BYJU'S Learning Program