| Exam Board | CAIE |
|---|---|
| Module | S1 (Statistics 1) |
| Year | 2014 |
| Session | June |
| Marks | 5 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Data representation |
| Type | Draw back-to-back stem-and-leaf diagram |
| Difficulty | Easy -1.3 This is a straightforward data representation task requiring only mechanical sorting and recording of values in a standard back-to-back stem-and-leaf format, followed by basic comparative observations. No calculation, problem-solving, or conceptual understanding beyond the diagram format is needed. |
| Spec | 2.02a Interpret single variable data: tables and diagrams |
| Adults: | 55 | 58 | 67 | 74 | 63 | 61 | 63 | 71 | 56 | 53 | 54 | 78 | 73 | 64 | 62 |
| Children: | 86 | 95 | 89 | 72 | 61 | 84 | 77 | 92 | 81 | 54 | 43 | 68 | 62 | 67 | 83 |
| Answer | Marks | Guidance |
|---|---|---|
| Answer/Working | Mark | Guidance |
| Single stem and key correct (including adults, children and seconds) | B1 | Stem: 4,5,6,7,8,9; Adults: 86543, 74332 1, 8431; Children: 3,4,1278,27,13469,25 |
| Right hand leaves correct shape | B1 | |
| Left hand leaves correct shape | B1 | Total: 3 |
| Answer | Marks | Guidance |
|---|---|---|
| Answer/Working | Mark | Guidance |
| Children's estimates more spread out | B1 | oe |
| Adults estimates lower | B1 | oe |
| Adults are symmetrical whereas children are skewed | oe — Total: 2 |
## Question 1:
### Part (i)
| Answer/Working | Mark | Guidance |
|---|---|---|
| Single stem and key correct (including adults, children and seconds) | B1 | Stem: 4,5,6,7,8,9; Adults: 86543, 74332 1, 8431; Children: 3,4,1278,27,13469,25 |
| Right hand leaves correct shape | B1 | |
| Left hand leaves correct shape | B1 | **Total: 3** |
### Part (ii)
| Answer/Working | Mark | Guidance |
|---|---|---|
| Children's estimates more spread out | B1 | oe |
| Adults estimates lower | B1 | oe |
| Adults are symmetrical whereas children are skewed | | oe — **Total: 2** |
---1 Some adults and some children each tried to estimate, without using a watch, the number of seconds that had elapsed in a fixed time-interval. Their estimates are shown below.
\begin{center}
\begin{tabular}{ l l l l l l l l l l l l l l l l }
Adults: & 55 & 58 & 67 & 74 & 63 & 61 & 63 & 71 & 56 & 53 & 54 & 78 & 73 & 64 & 62 \\
Children: & 86 & 95 & 89 & 72 & 61 & 84 & 77 & 92 & 81 & 54 & 43 & 68 & 62 & 67 & 83 \\
\end{tabular}
\end{center}
(i) Draw a back-to-back stem-and-leaf diagram to represent the data.\\
(ii) Make two comparisons between the estimates of the adults and the children.
\hfill \mbox{\textit{CAIE S1 2014 Q1 [5]}}