Step-by-step Solution:

The modal class is the class interval with the highest frequency. Here, the highest frequency is 20, which corresponds to the class interval 30-35. For the modal class 30-35: Lower limit (\( L \)) = 30 Frequency of the modal class (\( f_1 \)) = 20 Frequency of the preceding class (\( f_0 \)) = 14 Frequency of the succeeding class (\( f_2 \)) = 18 Class width (\( h \)) = 5 The formula for calculating Mode is: \[ Mode = L + \left( \frac{f_1 - f_0}{2f_1 - f_0 - f_2} \right) \times h \] Substitute the values: \[ Mode = 30 + \left( \frac{20 - 14}{2(20) - 14 - 18} \right) \times 5 \] \[ Mode = 30 + \left( \frac{6}{40 - 32} \right) \times 5 \] \[ Mode = 30 + \left( \frac{6}{8} \right) \times 5 \] \[ Mode = 30 + 3.75 = 33.75 \]