SPS SPS SM Statistics 2024 January — Question 4 6 marks

Exam BoardSPS
ModuleSPS SM Statistics (SPS SM Statistics)
Year2024
SessionJanuary
Marks6
TopicData representation
TypeMisinterpretation of data in graphs
DifficultyEasy -1.2 This question requires only basic data interpretation from a table, identifying patterns, and a simple percentage calculation (aging from 2001 to 2011 means those aged 20-65 in 2001 would be 30-75 in 2011, giving roughly 55% overlap). No statistical techniques, formulas, or mathematical reasoning beyond arithmetic are needed—it's primarily reading comprehension and logical thinking about age cohorts.
Spec2.02a Interpret single variable data: tables and diagrams2.02i Select/critique data presentation

The table shows the increases, between 2001 and 2011, in the percentages of employees travelling to work by various methods, in the Local Authorities (LAs) in the North East region of the UK. \includegraphics{figure_4} The first two digits of the Geography code give the type of each of the LAs: 06: Unitary authority 07: Non-metropolitan district 08: Metropolitan borough
  1. In what type of LA are the largest increases in percentages of people travelling by underground, metro, light rail or tram? [1]
  2. Identify two main changes in the pattern of travel to work in the North East region between 2001 and 2011. [2]
Now assume the following.
  • The data refer to residents in the given LAs who are in the age range 20 to 65 at the time of each census.
  • The number of people in the age range 20 to 65 who move into or out of each given LA, or who die, between 2001 and 2011 is negligible.
  1. Estimate the percentage of the people in the age range 20 to 65 in 2011 whose data appears in both 2001 and 2011. [2]
  2. In the light of your answer to part (c), suggest a reason for the changes in the pattern of travel to work in the North East region between 2001 and 2011. [1]

The table shows the increases, between 2001 and 2011, in the percentages of employees travelling to work by various methods, in the Local Authorities (LAs) in the North East region of the UK.

\includegraphics{figure_4}

The first two digits of the Geography code give the type of each of the LAs:

06: Unitary authority
07: Non-metropolitan district  
08: Metropolitan borough

\begin{enumerate}[label=(\alph*)]
\item In what type of LA are the largest increases in percentages of people travelling by underground, metro, light rail or tram? [1]

\item Identify two main changes in the pattern of travel to work in the North East region between 2001 and 2011. [2]
\end{enumerate}

Now assume the following.
\begin{itemize}
\item The data refer to residents in the given LAs who are in the age range 20 to 65 at the time of each census.
\item The number of people in the age range 20 to 65 who move into or out of each given LA, or who die, between 2001 and 2011 is negligible.
\end{itemize}

\begin{enumerate}[label=(\alph*)]
\setcounter{enumi}{2}
\item Estimate the percentage of the people in the age range 20 to 65 in 2011 whose data appears in both 2001 and 2011. [2]

\item In the light of your answer to part (c), suggest a reason for the changes in the pattern of travel to work in the North East region between 2001 and 2011. [1]
\end{enumerate}

\hfill \mbox{\textit{SPS SPS SM Statistics 2024 Q4 [6]}}