Q. 6 4.5( 124 Votes )

A student noted the number of cars passing through a spot on a road for 100periods each of 3 minutes and summarized it in the table given below. Find the mode of the data:

Answer :

For finding the mode, first we find the modal class i.e. class with maximum frequency
In the given data, Modal class is 40 - 50

and then we use the following formula for finding the mode


Where

l, lower limit of modal class = 40

h, width of modal class = 10

f1, frequency of modal class = 20

f0, frequency of class preceding modal class = 12

f2, frequency of class exceeding modal class = 11

Putting the values, we get

=

= 44.70

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