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Paper 2Core or Extended Mathematics5 marks
A company analyzes the time employees spend on tasks. The data is grouped into time intervals for analysis.
Data Table
Task Time Data
The table shows the frequency of time spent on tasks in different intervals.
| Time (minutes) | Frequency |
|---|---|
| 0-10 | 8 |
| 10-20 | 12 |
| 20-30 | 10 |
| 30-40 | 5 |
- a[2]
Calculate the frequency density for the interval 10-20 minutes.
Aim for approximately 2 distinct marking points.
- b[3]
Describe how the histogram would differ if the class width for the interval 30-40 minutes was changed to 30-50 minutes, keeping the frequency the same.
Aim for approximately 3 distinct marking points.
0 of 2 parts answered
Answer every part before opening the mark scheme.
Maths method check
- Topic focus: Histograms.
- Question style: structured_mathematics.
- Reasoning demand: reasoning.
- Check the operation, notation, units, and final answer form against the question before moving on.
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