OCR H240/02 2020 November — Question 14 6 marks

Exam BoardOCR
ModuleH240/02 (Pure Mathematics and Statistics)
Year2020
SessionNovember
Marks6
PaperDownload PDF ↗
TopicMeasures of Location and Spread
TypeEvaluate claims about large data set
DifficultyEasy -1.8 This is a data interpretation question requiring only basic reading of tables/graphs and common-sense reasoning about real-world context. No mathematical calculations or statistical techniques are needed—students simply explain why increases matter for planning, identify which LA had the largest percentage increase from the figures, and make simple inferences about demographics. This is well below average difficulty for A-level maths.
Spec2.02i Select/critique data presentation
Table 1 shows the numbers of usual residents in the age range 0 to 4 in 15 Local Authorities (LAs) in 2001 and 2011. The table also shows the increase in the numbers in this age group, and the same increase as a percentage. \includegraphics{figure_14} Fig. 2 shows the increase in each LA in raw numbers, and Fig. 3 shows the percentage increase in each LA. \includegraphics{figure_14_2} \includegraphics{figure_14_3}
  1. The Education Committees in these LAs need to plan for the provision of schools for pupils in their districts.
    1. Explain why, in this context, the increase is more important than the actual numbers. [1]
    2. In which of the following LAs was there likely to have been the greatest need for extra teachers in the years following 2011: Bolton, Sefton, Tameside or Wigan? Give a reason for your answer. [2]
    3. State an assumption about the populations needed to make your answer in part (ii) valid. [1]
  2. In two of the 15 LAs the proportion of young families is greater than in the other 13 LAs. Suggest, using only data from Fig. 2 and Fig. 3 and/or Table 1, which two LAs these are most likely to be. [2]
Table 1 shows the numbers of usual residents in the age range 0 to 4 in 15 Local Authorities (LAs) in 2001 and 2011. The table also shows the increase in the numbers in this age group, and the same increase as a percentage.

\includegraphics{figure_14}

Fig. 2 shows the increase in each LA in raw numbers, and Fig. 3 shows the percentage increase in each LA.

\includegraphics{figure_14_2}

\includegraphics{figure_14_3}

\begin{enumerate}[label=(\alph*)]
\item The Education Committees in these LAs need to plan for the provision of schools for pupils in their districts.
\begin{enumerate}[label=(\roman*)]
\item Explain why, in this context, the increase is more important than the actual numbers. [1]
\item In which of the following LAs was there likely to have been the greatest need for extra teachers in the years following 2011: Bolton, Sefton, Tameside or Wigan? Give a reason for your answer. [2]
\item State an assumption about the populations needed to make your answer in part (ii) valid. [1]
\end{enumerate}
\item In two of the 15 LAs the proportion of young families is greater than in the other 13 LAs. Suggest, using only data from Fig. 2 and Fig. 3 and/or Table 1, which two LAs these are most likely to be. [2]
\end{enumerate}

\hfill \mbox{\textit{OCR H240/02 2020 Q14 [6]}}
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