Q8 of 50 Page 164

The following frequency table shows the demand for a sweet and the number of customers. Find the mode of demand of sweet.

Given the distribution table, notice that maximum number of customers has demand for 250-500 grams. (Since, 60 is the maximum number of customers)


So, modal class = 250-500


Mode is given by



Where L = lower class limit of the modal class


h = class interval of the modal class


f1 = frequency of the modal class


f0 = frequency of the class preceding the modal class


f2 = frequency of the class succeeding the modal class


Here, Modal class = 250-500


L = 250


h = 250


f1 = 60


f0 = 10


f2 = 25


Putting these values in the formula,




Mode = 250 + 147.06


Mode = 397.06


Thus, mode of demand of sweet is 397.06 grams.


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