| Exam Board | Edexcel |
|---|---|
| Module | AS Paper 2 (AS Paper 2) |
| Year | 2024 |
| Session | June |
| Marks | 4 |
| 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 recall question requiring students to translate given summary statistics (minimum, Q1, median, Q3, maximum) directly into a box plot with no calculation or problem-solving. The range and IQR allow simple arithmetic to find the missing values (maximum = 1.72 + 0.28 = 2.00m, Q3 = 1.81 + 0.11 = 1.92m). This is a routine mechanical task well below average A-level difficulty. |
| Spec | 2.02f Measures of average and spread2.02h Recognize outliers |
| Answer | Marks | Guidance |
|---|---|---|
| Answer/Working | Mark | Guidance |
| Box with 2 whiskers (one at each end), median at \(1.85\) and lower quartile at \(1.81\) | B1 | Do not allow median = upper quartile \([=1.85]\) |
| Upper quartile at \(1.92\) plotted as right hand end of box | B1ft | ft for plotting \(\text{IQR} = 0.11\), i.e. upper quartile at "\(1.81\)" \(+ 0.11\) |
| Lower whisker ending at \(1.72\) | B1 | Must be attached to whisker |
| Upper whisker ending at \(2.0\) | B1ft | ft for plotting a range of \(0.28\), i.e. upper whisker ending at "\(1.72\)" \(+ 0.28\); condone maximum and/or minimum plotted as outliers by \(*\) or \(\times\) |
## Question 1:
**Box plot of Heights** (scale from 1.6 to 2.1)
| Answer/Working | Mark | Guidance |
|---|---|---|
| Box with 2 whiskers (one at each end), median at $1.85$ and lower quartile at $1.81$ | B1 | Do not allow median = upper quartile $[=1.85]$ |
| Upper quartile at $1.92$ plotted as right hand end of box | B1ft | ft for plotting $\text{IQR} = 0.11$, i.e. upper quartile at "$1.81$" $+ 0.11$ |
| Lower whisker ending at $1.72$ | B1 | Must be attached to whisker |
| Upper whisker ending at $2.0$ | B1ft | ft for plotting a range of $0.28$, i.e. upper whisker ending at "$1.72$" $+ 0.28$; condone maximum and/or minimum plotted as outliers by $*$ or $\times$ |
**Total: 4 marks**\begin{enumerate}
\item A coach recorded the heights of some adult rugby players and found the following summary statistics.
\end{enumerate}
$$\begin{array} { r }
\text { Median } = 1.85 \mathrm {~m} \\
\text { Range } = 0.28 \mathrm {~m} \\
\text { Interquartile range } = 0.11 \mathrm {~m}
\end{array}$$
The coach also noticed that
\begin{itemize}
\item the height of the shortest player is 1.72 m
\item $25 \%$ of the players' heights are below the height of a player whose height is 1.81 m
\end{itemize}
Draw a box and whisker plot to represent this information on the grid below.\\
\includegraphics[max width=\textwidth, alt={}, center]{6a0b46f8-7a6a-4ed8-8c7a-9772787f155a-02_342_1096_1027_488}
\hfill \mbox{\textit{Edexcel AS Paper 2 2024 Q1 [4]}}