Question

Median of the following freq. dist.

$x_i$	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

Answer: (C)

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

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

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