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

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

      2.6

Answers (1)

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The class having maximum frequency is the modal class.

The maximum frequency is 20 and hence the modal class = 40-50

Lower limit (l) of modal class = 40, class size (h) = 10

Frequency ( f_1 ) of the modal class = 20 frequency ( f_0 ) of class preceding the modal class = 12, frequency ( f_2 ) of class succeeding the modal class = 11

Mode = l + \left(\frac{f_1-f_0}{2f_1 - f_0 - f_2} \right).h

\\ =40+ \left(\frac{20-12}{2(20)-12-11} \right).10 \\ \\ = 40 + \frac{8}{17}.10

= 44.70

Thus, Mode of the data is 44.70

Posted by

HARSH KANKARIA

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