Question

Median of the following frequency. 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. none of these

Answer 1

The correct option is C $8.5$

We arranged the value of variate $x_i$ in ascending order with their frequencies.

$x_i$	3	6	7	10	12	15
c.f.	3	7	20	22	30	40

Here $N=40$ (even)
$\therefore \text{Median}=\frac{\left(\frac{N}{2}\right)\text{th term}+(\frac{N}{2}+1)\text{th term}}{2}$
$=\frac{\left(20\right)\text{th term}+\left(21\right)\text{th term}}{2}$
$=\frac{7+10}{2}=8.5$