Question

Find the median class for the below distribution.
$\begin{array}{cc}Class& Cumulativefrequency\\ 10-20& 3\\ 20-30& 17\\ 30-40& 24\\ 40-50& 33\\ 50-60& 51\end{array}$

• A. 20-30
• B. 30-40
• C. 40-50
• D. 50-60

Answer 1

The correct option is C 40-50

From above cumulative frequency distribution, we can see that the total number of observations n = 51.
$\frac{n}{2}=25.5$
The cumulative frequency closest to and above$\frac{n}{2}$ is 33. The class corresponding to this frequency is 40-50.
Thus the median class is 40-50.