Question

Calculate the median from the following distribution

Class	5-10	10-15	15-20
	5	6	15
Class	20-25	25-30	30-35
	10	5	4
Class	35-40	40-45
	2	2

• A. $20.5$
• B. $18.5$
• C. $19.5$
• D. $21$

Answer 1

Answer: (C)

$19.5$

Prepare the cumulative table. $N=49$
$\Rightarrow \frac{N}{2}=24.5$
cumulative frequency $>\frac{N}{2}$ corresponds to 15-20 (median class)
$Median=l+\frac{\frac{N}{2}-F_1}{F}\times h=$
$15+\frac{24.5-11}{15}\times 5=19.5$.