Number of cars | Frequency |
0-10 | 7 |
10-20 | 14 |
20-30 | 13 |
30-40 | 12 |
40-50 | 20 |
50-60 | 11 |
60-70 | 15 |
70-80 | 8 |
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