6. A student noted the number of cars passing through a spot on a road for 100 periods each of 3 minutes and summarized 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 summarized it in the table given below. Find the mode of the data:
Number of carsFrequency
0-107
10-2014
20-3013
30-4012
40-5020
50-6011
60-7015
70-808

solution

Given Data:

Modular class = 40 – 50, l = 40,

Class width (h) = 10, fm = 20, f1 = 12 and f2 = 11

\[Mode\text{ }=\text{ }l+\text{ }\left[ \left( fm-f1 \right)/\left( 2fm-f1-f2 \right) \right]\times h\]

Substitute the qualities

\[\begin{array}{*{35}{l}}

   Mode\text{ }=\text{ }40+\left( \left( 20-12 \right)/\left( 40-12-11 \right) \right)\times 10  \\

   ~  \\

   Mode\text{ }=\text{ }40\text{ }+\text{ }\left( 80/17 \right)\text{ }=\text{ }40\text{ }+\text{ }4.7\text{ }=\text{ }44.7  \\

\end{array}\] Accordingly, the method of the given information is 44.7 vehicles