Q. 64.8( 13 Votes )

A student noted the number of cars passing through a spot on a road for 100 periods, each of 3 minutes, and summarized this in the table given below.



Find the mode of the data.

Answer :

For mode:

Here, highest frequency is 20.


So, the modal class = 40-50


Mode is given by



Where,


L = Lower class limit of the modal class = 40


h = class interval of the modal class = 10


f1 = frequency of the modal class = 20


f0 = frequency of the class preceding the modal class = 12


f2 = frequency of the class succeeding the modal class = 11


Substituting values in the formula of mode,




Mode = 40 + 4.7


Mode = 44.7


Thus, the mode of the data is 44.7.


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