For the following frequency distribution, find the mode:

Class	$\displaystyle 25$-$\displaystyle 30$	$\displaystyle 30$-$\displaystyle 35$	$\displaystyle 35$-$\displaystyle 40$	$\displaystyle 40$-$\displaystyle 45$	$\displaystyle 45$-$\displaystyle 50$
Mode	$\displaystyle 12$	$\displaystyle 5$	$\displaystyle 14$	$\displaystyle 8$	$\displaystyle 9$

Maximum frequency is $\displaystyle 14$ ∴ Modal class is $\displaystyle 35-40 ; l=35$ $\displaystyle f_{1}=14, f_{0}=6, f_{2}=8, h=5$Mode \[\begin{array}{l} =l+\left(\frac{f_{1}-f_{0}}{2 f_{1}-f_{0}-f_{2}}\right) \times h \\ =35+\left(\frac{14-5}{28-13}\right) \times 5=35+\frac{9 \times 5}{15}=38 \end{array} \]