| Exam Board | CAIE |
|---|---|
| Module | S1 (Statistics 1) |
| Year | 2003 |
| Session | June |
| Marks | 5 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Data representation |
| Type | Misleading visual representation features |
| Difficulty | Easy -1.8 Part (i) requires identifying a misleading feature in a visual representation (likely non-zero axis or distorted scale), which is straightforward pattern recognition. Part (ii) involves constructing a basic stem-and-leaf diagram and finding the median—both routine S1 skills requiring minimal problem-solving. This is easier than typical A-level questions. |
| Spec | 2.02a Interpret single variable data: tables and diagrams2.02i Select/critique data presentation |
| Answer | Marks | Guidance |
|---|---|---|
| Answer | Mark | Guidance |
| False zero | B1 (1) | Or any sensible answer |
| Answer | Marks | Guidance |
|---|---|---|
| Answer | Mark | Guidance |
| Correct stem (3,4,5,6,7,8,9) | B1 | For correct stem, i.e. not 30, 40, 50 etc. |
| Leaves: 45 / 145 / 02 / 2 / 339 / 344556679 / 1 (sorted) | B1 | For correct leaf, must be sorted |
| Key: \(3\ | 4\) rep 34, stem width = 10 | B1 (3) |
| Answer | Marks | Guidance |
|---|---|---|
| Answer | Mark | Guidance |
| 79 | B1ft (1) | For correct answer, only ft from a sorted stem and leaf diagram |
## Question 1:
**(i)**
| Answer | Mark | Guidance |
|--------|------|----------|
| False zero | B1 (1) | Or any sensible answer |
**(ii)(a)**
| Answer | Mark | Guidance |
|--------|------|----------|
| Correct stem (3,4,5,6,7,8,9) | B1 | For correct stem, i.e. not 30, 40, 50 etc. |
| Leaves: 45 / 145 / 02 / 2 / 339 / 344556679 / 1 (sorted) | B1 | For correct leaf, must be sorted |
| Key: $3\|4$ rep 34, stem width = 10 | B1 (3) | NB $30\|4$ rep 34 gets B1 here |
**(ii)(b)**
| Answer | Mark | Guidance |
|--------|------|----------|
| 79 | B1ft (1) | For correct answer, only ft from a sorted stem and leaf diagram |
---1 (i)
\begin{figure}[h]
\begin{center}
\captionsetup{labelformat=empty}
\caption{Sales of Superclene Toothpaste}
\includegraphics[alt={},max width=\textwidth]{df20f053-8d67-428d-bb19-9447049deed5-2_725_1073_347_497}
\end{center}
\end{figure}
The diagram represents the sales of Superclene toothpaste over the last few years. Give a reason why it is misleading.\\
(ii) The following data represent the daily ticket sales at a small theatre during three weeks.
$$52,73,34,85,62,79,89,50,45,83,84,91,85,84,87,44,86,41,35,73,86 \text {. }$$
\begin{enumerate}[label=(\alph*)]
\item Construct a stem-and-leaf diagram to illustrate the data.
\item Use your diagram to find the median of the data.
\end{enumerate}
\hfill \mbox{\textit{CAIE S1 2003 Q1 [5]}}