Question

From the following frequency distribution, find the median class:

$\begin{array}{ccccc}\text{Cost of living index}& 1400-1550& 1550-1700& 1700-1850& 1850-2000\\ \text{Number of weeks}& 8& 15& 21& 8\end{array}$

Answer 1

$\begin{array}{ccc}\text{Cost of living index}& \text{No. of weeks (f)}& c.f.\\ 1400-1550& 8& 8\\ 1550-1700& 15& 23\\ 1700-1850& 21& 44\\ 1850-2000& 8& 52\\ & \sum f=n=52& \end{array}$
Here, $n=52$
$\Rightarrow \frac{n}{2}=\frac{52}{2}=26$
The cumulative frequency greater than or equal to 26 is 44 Or 26th term lies in the class interval $1700-1850$.
$\therefore$ Median class is $1700-1850$.