| Exam Board | CAIE |
|---|---|
| Module | S1 (Statistics 1) |
| Year | 2016 |
| Session | June |
| Marks | 5 |
| 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 mechanical plotting of given five-number summaries onto box plots and basic comparative observations. No calculations, statistical reasoning, or problem-solving required—purely routine execution of a standard technique well below typical A-level difficulty. |
| Spec | 2.02a Interpret single variable data: tables and diagrams2.02f Measures of average and spread |
| Minimum | Lower quartile | Median | Upper quartile | Maximum | |
| Girls | 5 | 5.5 | 7 | 9 | 13 |
| Boys | 4 | 6 | 8.5 | 11 | 16 |
| Answer | Marks | Guidance |
|---|---|---|
| Answer | Marks | Guidance |
| Girls box-and-whisker plot correct | B1 | Labels 'time' and 'seconds', 'boys' and 'girls' on correct plots and scaled line |
| Boys: one box and whisker all correct on graph paper | B1 | Ignore boy or girl label |
| Second box and whisker all correct on same scaled line | B1 [3] | On graph paper, ignore boy/girl label |
| Answer | Marks | Guidance |
|---|---|---|
| Answer | Marks | Guidance |
| Girls smaller range or IQ range than boys / girls less spread out | B1 | Any 2 comments – MUST be a comparison |
| Girls generally quicker than boys or girls median < boys median (not mean) or boys almost symmetrical, girls positively skewed | B1 [2] |
## Question 2:
### Part (i)
| Answer | Marks | Guidance |
|--------|-------|----------|
| Girls box-and-whisker plot correct | **B1** | Labels 'time' **and** 'seconds', 'boys' and 'girls' on correct plots and scaled line |
| Boys: one box and whisker all correct on graph paper | **B1** | Ignore boy or girl label |
| Second box and whisker all correct on **same** scaled line | **B1** [3] | On graph paper, ignore boy/girl label |
### Part (ii)
| Answer | Marks | Guidance |
|--------|-------|----------|
| Girls smaller range or IQ range than boys / girls less spread out | **B1** | Any 2 comments – MUST be a comparison |
| Girls generally quicker than boys **or** girls median < boys median (not mean) **or** boys almost symmetrical, girls positively skewed | **B1** [2] | |
---2 A group of children played a computer game which measured their time in seconds to perform a certain task. A summary of the times taken by girls and boys in the group is shown below.
\begin{center}
\begin{tabular}{ | c | c | c | c | c | c | }
\hline
& Minimum & Lower quartile & Median & Upper quartile & Maximum \\
\hline
Girls & 5 & 5.5 & 7 & 9 & 13 \\
\hline
Boys & 4 & 6 & 8.5 & 11 & 16 \\
\hline
\end{tabular}
\end{center}
(i) On graph paper, draw two box-and-whisker plots in a single diagram to illustrate the times taken by girls and boys to perform this task.\\
(ii) State two comparisons of the times taken by girls and boys.
\hfill \mbox{\textit{CAIE S1 2016 Q2 [5]}}