Handling Data 6
2 marks · HardThe grouped frequency table below shows the ages of people attending a workshop.
| Age (years) | Frequency |
|---|---|
| 10 < a \leq 20 | 8 |
| 20 < a \leq 30 | 16 |
| 30 < a \leq 50 | 12 |
What is the frequency density for the group 20 < a \leq 30?
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1.6 (±0.05)
Common mistakes: Dividing by wrong class width (e.g. using 10 instead of 10).
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Marking points
M1 · 1 mark · Identifies correct class width for 20 < a \leq 30 (class width = 10)
A1 · 1 mark · Correct calculation: 16 ÷ 10 = 1.6 (follow-through)
Worked solution
Class width for 20 < a \leq 30 is 30 - 20 = 10.