| Exam Board | SPS |
|---|---|
| Module | SPS SM Statistics (SPS SM Statistics) |
| Year | 2021 |
| Session | September |
| Marks | 4 |
| Topic | Data representation |
| Type | Direct frequency calculation from histogram |
| Difficulty | Easy -1.2 This is a straightforward histogram reading question requiring students to identify that frequency density × class width = frequency, then calculate a simple probability. It tests basic understanding of histograms but involves only routine calculation with no problem-solving or conceptual challenge. |
| Spec | 2.02b Histogram: area represents frequency |
5. Figure 2 is a histogram showing the distribution of the time taken in minutes, $t$, by a group of people to swim 500 m .
\begin{figure}[h]
\begin{center}
\captionsetup{labelformat=empty}
\caption{Figure 2}
\includegraphics[alt={},max width=\textwidth]{a58a2c41-3a53-41cc-b80f-84adb04a5f5c-11_547_1120_333_374}
\end{center}
\end{figure}
a Find the probability that a person chosen at random from the group takes longer than 18 minutes.\\
\hfill \mbox{\textit{SPS SPS SM Statistics 2021 Q5 [4]}}