Question

Calculate the median for the following distribution class

Class	0-10	10-20	20-30	30-40	40-50	50-60
Frequency	5	10	20	7	8	5

• A. $26.25$
• B. $22$
• C. $29$
• D. None of these

Answer 1

The correct option is A $26.25$

Total frequency $=$ $55$.

So, $\frac{55}{2}=27.5$ which lies in class $20-30$.

Hence, median is in group $20-30$

Estimated median $=L+\frac{n/2-B}{G}W$,

where $L$ $=$ Lower class boundary of the group containing the median

$n$ $=$ Total frequency

$B$ $=$ total frequency before the median group

$G$ $=$ frequency of the median

$W$ $=$ class width

$=20+\frac{\left(55/2\right)-15}{20}.10$

$=26.25$