OCR H240/02 2020 November — Question 14

Exam BoardOCR
ModuleH240/02 (Pure Mathematics and Statistics)
Year2020
SessionNovember
TopicData representation
TypeInappropriate graph type selection

14 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. \begin{table}[h]
20012011Increase\% Increase
Bolton1677918765198611.84\%
Bury1111712235111810.06\%
Knowsley94549121-333-3.52\%
Liverpool248402609912595.07\%
Manchester24693364131172047.46\%
Oldham151961649112958.52\%
Rochdale13771147549837.14\%
Salford1252916255372629.74\%
Sefton1489614601-295-1.98\%
St. Helens10083102691861.84\%
Stockport16457173428855.38\%
Tameside1280314439163612.78\%
Trafford1197114870289924.22\%
Wigan1756119681212012.07\%
Wirral174751851410395.95\%
\captionsetup{labelformat=empty} \caption{Table 1}
\end{table} Fig. 2 shows the increase in each LA in raw numbers, and Fig. 3 shows the percentage increase in each LA. \begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{4ba60d6b-c987-4f6b-8c55-8b594c90c854-10_792_1691_1838_187} \captionsetup{labelformat=empty} \caption{Fig. 2}
\end{figure} \begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{4ba60d6b-c987-4f6b-8c55-8b594c90c854-11_707_1700_214_185} \captionsetup{labelformat=empty} \caption{Fig. 3}
\end{figure}
  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.
    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.
    3. State an assumption about the populations needed to make your answer in part (ii) valid.
  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.