Question

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

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

Answer 1

The correct option is C 40 - 50

From the given 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.