Question

The median class for the following data is ____.

$\begin{array}{ccccccc}\text{Height (in cm)}& \text{Less than 140}& \text{Less than 145}& \text{Less than 150}& \text{Less than 155}& \text{Less than 160}& \text{Less than 165}\\ \text{No. of girls}& 4& 11& 29& 40& 46& 51\end{array}$

• A. 145-150
• B. 150-155
• C. 155-160
• D. 140-145

Answer 1

The correct option is A 145-150

The given table can be re-written as follows and the cumulative frequency is given in the table.

$\begin{array}{ccccccc}\text{Height (in cm)}& \text{Less than 140}& 140-145& 145-150& 150-155& 155-160& 160-165\\ \text{No. of girls}& 4& 11& 29& 40& 46& 51\end{array}$

Since there are a total of 51 observations, the median class is the one whose cumulative frequency is closest to and greater than 25.5.

If we take the 26th observation into consideration, we find it in the class range 145 - 150

Thus, the class interval 145-150 is the required answer.