Numeracy Intermediate November 2018 Unit 1 Q11
11. Gwen records the time she spends writing each of 240 text messages.
She finds the following.
- The greatest time is 1 minute 5 seconds.
- The range of the times is 60 seconds.
- The median is 45 seconds.
- The lower quartile is 23 seconds.
- The interquartile range is 32 seconds.
(a) Use the graph paper to draw a box-and-whisker diagram to represent Gwen’s data. [5]
(b) How many of these text messages took Gwen more than 23 seconds to write? [2]
…………… text messages
| Scheme | Marks | Comments |
|---|---|---|
| Uniform scale from at least 5 (seconds) to at least 65 (seconds), AND time label | B1 | Accept ‘seconds’ as the time label, do not accept if only attached to values on the scale |
| Correct format of a box-and-whisker | B1 | Do not ignore additional lines drawn End stopper lines omitted can be ignored FT for unambiguous indications of the following: |
| Showing least time 5 seconds | B1 | On the graph paper |
| Showing UQ 55 seconds | B1 | On the graph paper |
| Correct plotting upper end whisker at 65 seconds, LQ at 23 seconds AND median at 45 seconds | B1 | On the graph paper |
| Scheme | Marks | Comments |
|---|---|---|
| 0.75 × 240 or equivalent | M1 | Allow sight of ‘75% of 240’ |
| 180 (text messages) | A1 | If no marks, award SC1 for an answer of 60 (text messages) |