Question

Consider the following frequency distribution
$\begin{array}{cccccc}Class& 0-5& 6-11& 12-17& 18-23& 24-29\\ Frequency& 13& 10& 15& 8& 11\end{array}$
The lower limit of the median class is _____.

• A.
  17.5
• B.
  11.5
• C.
  18
• D.
  18.5

Answer 1

The correct option is B

11.5
$\begin{array}{ccc}Class& Frequency& Cumulative\\ & & frequency\\ 0.5-5.5& 13& 13\\ 5.5-11.5& 10& 23\\ 11.5-17.5& 15& 38\\ 17.5-23.5& 8& 46\\ 23.5-29.5& 11& 57\end{array}$
Given, classes are not continuous, so we can make it continuous by subtracting 0.5 from lower limit and adding 0.5 to upper limit of each class.
Here, $\frac{N}{2}=\frac{57}{2}=28.5$, which lies in the interval 11.5-17.5.
Hence, the lower limit is 11.5