Question

The median class for the given 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. 160-165

Answer 1

The correct option is A

145-150

The given table can be written as:
$\begin{array}{ccccccc}\text{Height (in cm)}& \text{Less than 140}& 140-145& 145-150& 150-155& 155-160& 160-165\\ \text{No. of girls}& 4& 11& 29& 40& 46& 51\end{array}$
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. Thus, the class interval 145-150 is the required answer.