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

f_{1} = frequency of the modal class = 20

f_{0} = frequency of the class preceding the modal class = 12

f_{2} = 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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