Question

Median of the following freq. distribution

$x_i$	3	6	10	12	7	15
$f_i$	3	4	2	8	13	10

• A. $7$
• B. $10$
• C. $8.5$
• D. $12$

Answer 1

The correct option is D $12$

$x_i$	$x_i$	$f_i$	C.f (cummulative frequency)
3	3	3	3
6	6	4	7
10	7	13	20
12	10	2	22
7	12	8	30
15	15	10	40
		40

Median is which has $\frac{n+1}{2}$ in c.f interval of its class, here

$n=40\Rightarrow$ $\frac{41}{2}=20.5$

we see $20-22$ are in $x_i=12$

$\Rightarrow$ Median $=12$ No. option