| Exam Board | CAIE |
|---|---|
| Module | S1 (Statistics 1) |
| Year | 2006 |
| Session | November |
| Marks | 4 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Data representation |
| Type | State advantages of diagram types |
| Difficulty | Easy -1.8 This is a straightforward data organization task requiring only basic understanding of class intervals and tallying. Students simply need to calculate class width (4 kg), set up five intervals, and count frequencies—pure mechanical execution with no problem-solving or statistical insight required. |
| Spec | 2.02a Interpret single variable data: tables and diagrams |
| 50 | 45 | 61 | 53 | 55 | 47 | 52 | 49 | 46 | 51 |
| 60 | 52 | 54 | 47 | 57 | 59 | 42 | 46 | 51 | 53 |
| 56 | 48 | 50 | 51 | 44 | 52 | 49 | 58 | 55 | 45 |
| Answer | Marks | Guidance |
|---|---|---|
| Weight | Freq | |
| 41.5-45.5 | 4 | |
| 45.5-49.5 | 7 | |
| 49.5-53.5 | 10 | |
| 53.5-57.5 | 5 | |
| 57.5-61.5 | 4 | |
| M1 | Five groups | |
| A1, M1 | Correct boundaries, accept 42-45, 46-49 etc. Attempt to calculate frequencies \(\geq 29, 30\) or \(31\) | |
| A1 | 4 marks | 5 frequencies correct |
| Weight | Freq |
|--------|------|
| 41.5-45.5 | 4 |
| 45.5-49.5 | 7 |
| 49.5-53.5 | 10 |
| 53.5-57.5 | 5 |
| 57.5-61.5 | 4 |
| M1 | Five groups |
| A1, M1 | Correct boundaries, accept 42-45, 46-49 etc. Attempt to calculate frequencies $\geq 29, 30$ or $31$ |
| A1 | 4 marks | 5 frequencies correct |
---1 The weights of 30 children in a class, to the nearest kilogram, were as follows.
\begin{center}
\begin{tabular}{ l l l l l l l l l l }
50 & 45 & 61 & 53 & 55 & 47 & 52 & 49 & 46 & 51 \\
60 & 52 & 54 & 47 & 57 & 59 & 42 & 46 & 51 & 53 \\
56 & 48 & 50 & 51 & 44 & 52 & 49 & 58 & 55 & 45 \\
\end{tabular}
\end{center}
Construct a grouped frequency table for these data such that there are five equal class intervals with the first class having a lower boundary of 41.5 kg and the fifth class having an upper boundary of 61.5 kg .
\hfill \mbox{\textit{CAIE S1 2006 Q1 [4]}}