| Exam Board | OCR MEI |
|---|---|
| Module | Paper 2 (Paper 2) |
| Year | 2022 |
| Session | June |
| Marks | 3 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Data representation |
| Type | Estimate single values from cumulative frequency graph |
| Difficulty | Easy -1.8 This is a straightforward data interpretation question requiring only basic reading of a cumulative frequency diagram and understanding of sample vs population. Parts (a) and (c) are simple conceptual explanations, while part (b) requires reading the 9th highest value from the graph—all routine skills with no problem-solving or calculation required. |
| Spec | 2.01a Population and sample: terminology |
| Answer | Marks | Guidance |
|---|---|---|
| 8 | (a) | population since all distances of at least |
| 120 km are used oe | B1 | 1.2 |
| Answer | Marks | Guidance |
|---|---|---|
| 8 | (b) | 161-163 km |
| Answer | Marks | Guidance |
|---|---|---|
| 8 | (c) | we need to see two elements: Ali’s |
| Answer | Marks | Guidance |
|---|---|---|
| tail | B1 | 2.2a |
Question 8:
8 | (a) | population since all distances of at least
120 km are used oe | B1 | 1.2
[1]
8 | (b) | 161-163 km | B1 | 1.1
[1]
8 | (c) | we need to see two elements: Ali’s
complaint is justified oe and correct
numerical reasoning with reference to upper
tail | B1 | 2.2a | eg 10 riders rode more than 160 km
or 14 rode 156 km or more
or the reserve should have ridden (approximately) 161 km
so (Ali’s complaint is) justified oe
[1]Ali conducted an investigation into the distances ridden by those members of a cycling club who rode at least 120 km in a training week. She grouped all the distances into intervals of length 10 km and then constructed a cumulative frequency diagram, which is shown below.
\includegraphics{figure_8}
\begin{enumerate}[label=(\alph*)]
\item Explain whether the data Ali used is a sample or a population. [1]
\end{enumerate}
The club is taking part in a competition. Eight team members and one reserve are to be selected. The club captain decides that the team members should be those cyclists who rode the furthest during the training week, and that the reserve should be the cyclist who rode the next furthest.
\begin{enumerate}[label=(\alph*)]
\setcounter{enumi}{1}
\item Use the graph to estimate the shortest distance cycled by a team member. [1]
\end{enumerate}
The captain's best friend rode 156 km in the training week and was selected as reserve. Ali complained that this was unjustifiable.
\begin{enumerate}[label=(\alph*)]
\setcounter{enumi}{2}
\item Explain whether there is sufficient evidence in the diagram to support Ali's complaint. [1]
\end{enumerate}
\hfill \mbox{\textit{OCR MEI Paper 2 2022 Q8 [3]}}