Handling Data 6
3 marks · EasyThe frequency table below shows the time (in minutes) spent by people waiting at a station.
| Waiting time (min) | Frequency |
|---|---|
| 0 < t ≤ 2 | 5 |
| 2 < t ≤ 5 | 15 |
| 5 < t ≤ 10 | 20 |
Complete the table below to include the class widths and frequency densities for each group.
| Waiting time (min) | Frequency | Class width | Frequency density |
|---|---|---|---|
| 0 < t ≤ 2 | 5 | ||
| 2 < t ≤ 5 | 15 | ||
| 5 < t ≤ 10 | 20 |
Work this out on paper, then compare with the answer and worked solution below. With a free account you can submit written answers for marking.
Show answer
Must show: Class width: 2, 3, 5; Frequency density: 2.5, 5, 4
Common mistakes: class width = frequency
Show mark scheme and worked solution
Marking points
M1 · 1 mark · Correctly finds all class widths (2, 3, 5).
M1 · 1 mark · Uses correct formula: frequency density = frequency / class width.
A1 · 1 mark · Correctly completes all frequency densities (2.5, 5, 4).
Worked solution
| Waiting time (min) | Frequency | Class width | Frequency density |
|---|---|---|---|
| 0 < t ≤ 2 | 5 | 2 | 2.5 |
| 2 < t ≤ 5 | 15 | 3 | 5 |
| 5 < t ≤ 10 | 20 | 5 | 4 |