The following frequency distribution table shows the classification of the number of vehicles and the volume of petrol filled in them. To find the mode of the volume of petrol filled, complete the following activity :Class (Petrol filled in Liters)Fr…
Q.3 (A)(i) The following frequency distribution table shows the classification of the number of vehicles and the volume of petrol filled in them. To find the mode of the volume of petrol filled, complete the following activity :
| Class (Petrol filled in Liters) | Frequency (Number of Vehicles) |
|---|---|
| 0.5–3.5 | 33 |
| 3.5–6.5 | 40 |
| 6.5–9.5 | 27 |
| 9.5–12.5 | 18 |
| 12.5–15.5 | 12 |
Activity :
From the given table,
Modal class = ____
\(\therefore\) Mode = ____ \(+ \left[ \dfrac{f_1 - f_0}{2f_1 - f_0 -}\) ____ \(\right] \times h\)
\(\therefore\) Mode = 3.5 \(+ \left[ \dfrac{40 - 33}{2(40) - 33 - 27} \right] \times\) ____
\(\therefore\) Mode = 3.5 \(+ \left[ \dfrac{7}{80 - 60} \right] \times 3\)
\(\therefore\) Mode = ____
\(\therefore\) The mode of the volume of petrol filled is ____.