| Exam Board | CAIE |
|---|---|
| Module | S1 (Statistics 1) |
| Year | 2011 |
| Session | November |
| Marks | 6 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Data representation |
| Type | Draw box plot from summary statistics |
| Difficulty | Easy -1.8 This is a straightforward data representation question requiring only basic skills: ordering data to find five-number summary for History, then drawing two box plots from given statistics. No calculation complexity, no interpretation beyond stating an obvious visual difference. Well below average A-level difficulty. |
| Spec | 2.02a Interpret single variable data: tables and diagrams2.02f Measures of average and spread |
| Answer | Marks | Guidance |
|---|---|---|
| Answer/Working | Mark | Guidance |
| History: lowest 27, highest 57, \(LQ = 33\), \(\text{med} = 39\), \(UQ = 50\) | M1 | Attempt to find history quartiles and median by putting in order or stem and leaf (can be implied if answer is reasonable) |
| [Box plot diagram shown for Physics and History on scale 10–70] | Correct history median and quartiles | |
| Uniform scale and labels | ||
| Correct history graph ft their quartiles, line not through box | ||
| [1] | Correct physics graph |
| Answer | Marks | Guidance |
|---|---|---|
| Answer/Working | Mark | Guidance |
| Physics marks are more spread out than History marks | B1 [1] | Any sensible comment |
## Question 4:
### Part (i):
| Answer/Working | Mark | Guidance |
|---|---|---|
| History: lowest 27, highest 57, $LQ = 33$, $\text{med} = 39$, $UQ = 50$ | M1 | Attempt to find history quartiles and median by putting in order or stem and leaf (can be implied if answer is reasonable) |
| [Box plot diagram shown for Physics and History on scale 10–70] | | Correct history median and quartiles |
| | | Uniform scale and labels |
| | | Correct history graph ft their quartiles, line not through box |
| | [1] | Correct physics graph |
### Part (ii):
| Answer/Working | Mark | Guidance |
|---|---|---|
| Physics marks are more spread out than History marks | B1 [1] | Any sensible comment |
---4 The marks of the pupils in a certain class in a History examination are as follows.
$$\begin{array} { l l l l l l l l l l l l l }
28 & 33 & 55 & 38 & 42 & 39 & 27 & 48 & 51 & 37 & 57 & 49 & 33
\end{array}$$
The marks of the pupils in a Physics examination are summarised as follows.\\
Lower quartile: 28 , Median: 39, Upper quartile: 67.\\
The lowest mark was 17 and the highest mark was 74 .\\
(i) Draw box-and-whisker plots in a single diagram on graph paper to illustrate the marks for History and Physics.\\
(ii) State one difference, which can be seen from the diagram, between the marks for History and Physics.
\hfill \mbox{\textit{CAIE S1 2011 Q4 [6]}}