Chapter: Statistics· Mathematics Part 1 (Algebra)
Asked in: March 2024 board paper; mode of grouped data also came in July 2024 and June 2026Q.5 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…
Asked in: March 2024 board paper; mode of grouped data also came in July 2024 and June 2026
Q.5 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 litres) | 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 = ____ \(+ \left[ \dfrac{f_1 - f_0}{2f_1 - f_0 - \text{____}} \right] \times h\)
\(\therefore\) 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 ____.