Q. 224.8( 5 Votes )

The table shows t

Answer :

We know the mode can be calculated using the formula,



Where l is lower limit of the modal class


h is class interval


f1 is frequency of the modal class


f0 is frequency of the class before modal class


f2 is frequency of the class after modal class


Here the modal class can be calculated as


Modal class = interval with highest frequency


From the given table the highest frequency is 12, so the corresponding interval is 200 – 250.


So the modal class = 200 – 250……(ii)


Now finding the corresponding values of various values for mode calculation


l = 200 (as lower limit of modal class is 200)


h = 250 – 200 = 50


f1 = 12 (frequency of modal class)


f0 = 5 (this is the frequency of class before modal class)


f2 = 2 (this is the frequency of class after modal class)


Substituting these values in equation (i), we get







Mode = 200 + 20.58


Mode = 220.58


Hence the modal daily expenditure on grocery is Rs. 220.58.

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