SPS SPS SM Statistics 2026 January — Question 3 6 marks

Exam BoardSPS
ModuleSPS SM Statistics (SPS SM Statistics)
Year2026
SessionJanuary
Marks6
TopicData representation
TypeMisinterpretation of data in graphs
DifficultyEasy -1.2 This is a data interpretation question requiring students to read bar charts, understand proportions vs absolute numbers, and discuss context-dependent interpretations. While it involves multiple parts, each requires only straightforward reasoning about percentages and practical considerations rather than mathematical calculation or problem-solving. This is easier than average A-level maths content.
Spec2.02a Interpret single variable data: tables and diagrams2.02i Select/critique data presentation

3. Researchers investigated the change in the numbers of people in employment using underground, metro, light rail or tram (UMLRT) between 2001 and 2011. The data are combined for those Local Authorities (LAs) with UMLRT stations into five regions: Birmingham, Liverpool, Manchester, Sheffield and Rotherham, and Tyne and Wear. Fig. 1 shows the total numbers of people in employment in those LAs. Fig. 2 shows the total numbers of people in employment who use UMLRT in those LAs. \begin{figure}[h]
\captionsetup{labelformat=empty} \caption{Fig. 1} \includegraphics[alt={},max width=\textwidth]{fdff6575-679e-4d25-ad43-e9d343c1746f-08_834_1694_836_166}
\end{figure} \begin{figure}[h]
\captionsetup{labelformat=empty} \caption{Fig. 2} \includegraphics[alt={},max width=\textwidth]{fdff6575-679e-4d25-ad43-e9d343c1746f-08_833_1694_1822_166}
\end{figure}
  1. Use these charts to explain which of Birmingham and Liverpool has the larger proportion of people in employment who used UMLRT in 2011. One of the researchers says, "Between 2001 and 2011, the increase in the number of people in employment who use UMLRT is greatest in Tyne and Wear." Sam says, "But what matters more is which region has the greatest increase in the proportion of people in employment who use UMLRT."
  2. Give a reason why the planners responsible for the building of trains and the maintenance of infrastructure might disagree with Sam.
  3. Explain whether those responsible for encouraging the greater use of public transport would agree with Sam.
  4. The charts are compiled from data in the Large Data Set by using those LAs which contain UMLRT stations in each region. Explain a disadvantage of using these data.

3.

Researchers investigated the change in the numbers of people in employment using underground, metro, light rail or tram (UMLRT) between 2001 and 2011.

The data are combined for those Local Authorities (LAs) with UMLRT stations into five regions: Birmingham, Liverpool, Manchester, Sheffield and Rotherham, and Tyne and Wear.

Fig. 1 shows the total numbers of people in employment in those LAs.

Fig. 2 shows the total numbers of people in employment who use UMLRT in those LAs.

\begin{figure}[h]
\begin{center}
\captionsetup{labelformat=empty}
\caption{Fig. 1}
  \includegraphics[alt={},max width=\textwidth]{fdff6575-679e-4d25-ad43-e9d343c1746f-08_834_1694_836_166}
\end{center}
\end{figure}

\begin{figure}[h]
\begin{center}
\captionsetup{labelformat=empty}
\caption{Fig. 2}
  \includegraphics[alt={},max width=\textwidth]{fdff6575-679e-4d25-ad43-e9d343c1746f-08_833_1694_1822_166}
\end{center}
\end{figure}
\begin{enumerate}[label=(\alph*)]
\item Use these charts to explain which of Birmingham and Liverpool has the larger proportion of people in employment who used UMLRT in 2011.

One of the researchers says, "Between 2001 and 2011, the increase in the number of people in employment who use UMLRT is greatest in Tyne and Wear."

Sam says, "But what matters more is which region has the greatest increase in the proportion of people in employment who use UMLRT."
\item Give a reason why the planners responsible for the building of trains and the maintenance of infrastructure might disagree with Sam.
\item Explain whether those responsible for encouraging the greater use of public transport would agree with Sam.
\item The charts are compiled from data in the Large Data Set by using those LAs which contain UMLRT stations in each region.

Explain a disadvantage of using these data.
\end{enumerate}

\hfill \mbox{\textit{SPS SPS SM Statistics 2026 Q3 [6]}}