Question

Median of the following freq. dist.

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

• A. $8.5$
• B. $10$
• C. $7$
• D. None of these

Answer 1

The correct option is C $7$

$X_1$	$F_1$	$Cf$
$3$	$3$	$3$
$6$	$4$	$7$
$10$	$2$	$9$
$12$	$8$	$17$
$7$	$13$	$30$
$15$	$10$	$40$

$N=40$

Then $\frac{N}{2}=\frac{40}{2}=20$

We see that the $\frac{N}{2}=20$ then commutative freq. excess $20$ is $30$

the value of $x_1$ of $cf30$ is $7$

then Median is $7$