Question

Find the median class for the given distribution:
$\begin{array}{cccccc}\text{Weekly Wages (in Rs.)}& 0-100& 100-200& 200-300& 300-400& 400-500\\ \text{No. of Workers}& 40& 39& 34& 30& 45\end{array}$

• A. 100-200
• B. 400-500
• C. 200-300
• D. 300-400

Answer 1

The correct option is C

200-300

$\begin{array}{ccc}\text{Weekly Wages(Rs.)}& \text{No. of Workers}& \text{Cumulative Frequency}\\ 0-100& 40& 40\\ 100-200& 39& 79\\ 200-300& 34& 113\\ 300-400& 30& 143\\ 400-500& 45& 188\end{array}$

Median term =$\frac{\left(\frac{n}{2}\right)+(\frac{n}{2}+1)}{2}=\frac{(94+95)}{2}={94.5}^{th}term$

94.5 falls between 79 and 113, i.e. in the class 200-300.
So, the median class is 200 - 300.