OCR H240/02 2020 November — Question 9 4 marks

Exam BoardOCR
ModuleH240/02 (Pure Mathematics and Statistics)
Year2020
SessionNovember
Marks4
PaperDownload PDF ↗
TopicData representation
TypeTotal sample size from histogram
DifficultyEasy -1.3 This is a straightforward histogram interpretation question requiring basic understanding that frequency = frequency density × class width. Parts (a) and (d) involve simple proportion calculations, (b) is direct recall of units, and (c) is a qualitative suggestion. All parts are routine with minimal problem-solving demand.
Spec2.02b Histogram: area represents frequency

The histogram shows information about the numbers of cars in five different price ranges, sold in one year at a car showroom. \includegraphics{figure_9} It is given that 66 cars in the price range £10000 to £20000 were sold.
  1. Find the number of cars sold in the price range £50000 to £90000. [1]
  2. State the units of the frequency density. [1]
  3. Suggest one change that the management could make to the diagram so that it would provide more information. [1]
  4. Estimate the number of cars sold in the price range £50000 to £60000. [1]

The histogram shows information about the numbers of cars in five different price ranges, sold in one year at a car showroom.

\includegraphics{figure_9}

It is given that 66 cars in the price range £10000 to £20000 were sold.

\begin{enumerate}[label=(\alph*)]
\item Find the number of cars sold in the price range £50000 to £90000. [1]
\item State the units of the frequency density. [1]
\item Suggest one change that the management could make to the diagram so that it would provide more information. [1]
\item Estimate the number of cars sold in the price range £50000 to £60000. [1]
\end{enumerate}

\hfill \mbox{\textit{OCR H240/02 2020 Q9 [4]}}