Question

Question 7
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 upper limit of the median class is
(a) 17
(b) 17.5
(c) 18
(d) 18.5

Answer 1

$\begin{array}{ccc}Class& Frequency& Cumulative\\ & & frequency\\ -0.5-5.5& 13& 13\\ 5.5-11.5& 10& 23\\ 11.5-17.5& 15& 38\\ 17.5-23.5& 8& 46\\ 23.5-29.5& 11& 57\end{array}$
Given, classes are not continuous, so we make 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 11.51-17.5.
Hence, the upper limit is 17.5