| Exam Board | SPS |
|---|---|
| Module | SPS SM Statistics (SPS SM Statistics) |
| Year | 2024 |
| Session | September |
| Marks | 5 |
| Topic | Data representation |
| Type | Total sample size from histogram |
| Difficulty | Easy -1.2 This is a straightforward histogram interpretation question requiring students to use frequency density = frequency/class width. Part (a) involves a simple calculation using the given reference class, while part (b) requires splitting an interval and summing areas. Both are routine textbook exercises with no conceptual challenges beyond basic histogram mechanics. |
| Spec | 2.02b Histogram: area represents frequency |
The histogram shows information about the lengths, $l$ centimetres, of a sample of worms of a certain species.
\includegraphics{figure_1}
The number of worms in the sample with lengths in the class $3 \leqslant l < 4$ is 30.
\begin{enumerate}[label=(\alph*)]
\item Find the number of worms in the sample with lengths in the class $0 \leqslant l < 2$. [2]
\item Find an estimate of the number of worms in the sample with lengths in the range $4.5 \leqslant l < 5.5$. [3]
\end{enumerate}
\hfill \mbox{\textit{SPS SPS SM Statistics 2024 Q1 [5]}}