Question

The table below shows the workers in a factory sorted according to their daily wages :

$\begin{array}{cc}\text{Daily wages (Rs)}& \text{No. workers}\\ 400& 3\\ 500& 4\\ 600& 5\\ 700& 7\\ 800& 6\\ 900& 3\\ 1000& 4\end{array}$

Calculate the Median.

• A. Rs. 750
• B. Rs. 600
• C. Rs. 700
• D. Rs.675

Answer 1

The correct option is C

Rs. 700

The Cumulative frequency distribution table can be given as :

$\begin{array}{cc}\text{Daily wages (Rs.)}& \text{No. workers(Cumulative)}\\ upto400& 3\\ upto500& 7\\ upto600& 12\\ upto700& 19\\ upto800& 25\\ upto900& 28\\ upto1000& 32\end{array}$

The Median will be the average of the 16th and 17th observation.

Both have the value as 700.

$\therefore$ The Median = $\frac{700+700}{2}$ = Rs. 700