| Exam Board | CAIE |
|---|---|
| Module | S1 (Statistics 1) |
| Year | 2004 |
| Session | June |
| Marks | 5 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Data representation |
| Type | Draw cumulative frequency graph from cumulative frequency table |
| Difficulty | Easy -1.8 This is a straightforward data representation question requiring students to plot given summary statistics (median, quartiles, extremes) on a cumulative frequency graph and read off a value. It involves only basic graph plotting and reading skills with no calculation or problem-solving required—purely mechanical execution of a standard S1 technique. |
| Spec | 2.02a Interpret single variable data: tables and diagrams |
| Answer | Marks | Guidance |
|---|---|---|
| Axes and labels | B1 | For correct uniform scales and labels on both axes; accept Frequency, %CF, Number of people; allow axes reversed; allow halves |
| \((3,0)\ (15,160)\ (20,320)\ (35,480)\ (60,640)\) | B1 | For 3 correct points |
| B1 | All points correct and reasonable graph including straight lines |
| Answer | Marks | Guidance |
|---|---|---|
| Accept \(60-70\) for straight lines; \(40-70\) for curve | M1 | For subtracting from 640 can be implied |
| A1 | For correct answer, reasonably compatible with graph |
# Question 2:
## Part (i)
Axes and labels | B1 | For correct uniform scales and labels on both axes; accept Frequency, %CF, Number of people; allow axes reversed; allow halves
$(3,0)\ (15,160)\ (20,320)\ (35,480)\ (60,640)$ | B1 | For 3 correct points
| B1 | All points correct and reasonable graph including straight lines
**Total: 3**
## Part (ii)
Accept $60-70$ for straight lines; $40-70$ for curve | M1 | For subtracting from 640 can be implied
| A1 | For correct answer, reasonably compatible with graph
**Total: 2**
---2 In a recent survey, 640 people were asked about the length of time each week that they spent watching television. The median time was found to be 20 hours, and the lower and upper quartiles were 15 hours and 35 hours respectively. The least amount of time that anyone spent was 3 hours, and the greatest amount was 60 hours.\\
(i) On graph paper, show these results using a fully labelled cumulative frequency graph.\\
(ii) Use your graph to estimate how many people watched more than 50 hours of television each week.
\hfill \mbox{\textit{CAIE S1 2004 Q2 [5]}}