The lengths of 40 leaves of a plant are measured correct to the neare… — NCERT Solution

The lengths of 40 leaves of a plant are measured correct to the nearest millimetre, and the data obtained is represented in the following table:

 $\begin{array}{|c|c|} \hline \text{Length (in mm)} & \text{Number of leaves} \\ \hline 118 - 126 & 3 \\ \hline 127 - 135 & 5 \\ \hline 136 - 144 & 9 \\ \hline 145 - 153 & 12 \\ \hline 154 - 162 & 5 \\ \hline 163 - 171 & 4 \\ \hline 172 - 180 & 2 \\ \hline \end{array}$

Find the median length of the leaves.

(Hint: The data needs to be converted to continuous classes for finding the median, since the formula assumes continuous classes. The classes then change to $117.5 - 126.5$ , $126.5 - 135.5$ , $\dots$ , $171.5 - 180.5$ .)

Question 4