Question

Find the mode of the following data.
$$\begin{array}{cccccc}Classinterval& 0-10& 10-20& 20-30& 30-40& 40-50\\ Frequency& 8& 10& 14& 10& 8\end{array}$$

Answer 1

Hint: Since the classes on the either side of the modal class have the same frequency, the mode will be the midpoint of the class interval.

Solution:

Modal Class is 20-30 with the highest frquency of 14

Mode=I+$\left(\frac{f_1-f_0}{2f_1-f_0-f_2}\right)$$\times$h

=20+$\frac{14-10}{28-10-10}$$\times$10=25