In: Statistics and Probability
The weekly profits (in Rs) of 100 shops are given in a continuous class distribution below. Find the modal value?

Solution:
Mode in case of continuous class interval is given by:
l + {(fm - fp)/(2fm - fp - fs)} . h
To compute mode, substitute the values in the above formula and proceed as follows:

Thus, the determined mode of weekly profits of 100 shops is:
Rs. 256.25
The mode of this weekly profits distribution is Rs. 256.25