| Exam Board | OCR |
|---|---|
| Module | H240/02 (Pure Mathematics and Statistics) |
| Year | 2023 |
| Session | June |
| Marks | 7 |
| Paper | Download PDF ↗ |
| Topic | Data representation |
| Type | Draw box plot from raw data |
| Difficulty | Easy -1.2 This is a straightforward statistics question requiring reading a stem-and-leaf diagram, finding five-number summary values (minimum, Q1, median, Q3, maximum), drawing a box plot, and applying the standard outlier rule (1.5×IQR). All steps are routine procedures with no problem-solving or conceptual challenges beyond basic A-level statistics recall. |
| Spec | 2.03a Mutually exclusive and independent events2.04b Binomial distribution: as model B(n,p)2.04c Calculate binomial probabilities |
The stem-and-leaf diagram shows the heights, in centimetres, of 15 plants.
$\begin{array}{l|l}
0 & 2 \\
1 & 0 \\
2 & 4 \\
3 & 0\ 2\ 4\ 9 \\
4 & 1\ 2\ 4\ 7\ 9 \\
5 & 3\ 7 \\
6 & 2
\end{array}$
Key: $2 | 5$ means 25 cm.
\begin{enumerate}[label=(\alph*)]
\item Draw a box-and-whisker plot to illustrate the data. [4]
\end{enumerate}
A statistician intends to analyse the data, but wants to ignore any outliers before doing so.
\begin{enumerate}[label=(\alph*)]
\setcounter{enumi}{1}
\item Discuss briefly whether there are any heights in the diagram which the statistician should ignore. [3]
\end{enumerate}
\hfill \mbox{\textit{OCR H240/02 2023 Q8 [7]}}