| Exam Board | OCR MEI |
|---|---|
| Module | AS Paper 2 (AS Paper 2) |
| Year | 2024 |
| Session | June |
| Marks | 4 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Data representation |
| Type | Estimate single values from cumulative frequency graph |
| Difficulty | Easy -1.3 This is a straightforward cumulative frequency question requiring basic graph reading skills: (a) read the maximum value, (b) find Q1 and Q3 by reading off at 25% and 75% positions then subtract, (c) compare two IQR values. All parts are routine recall/application of standard techniques with no problem-solving or novel insight required. |
| Spec | 2.01d Select/critique sampling: in context2.02a Interpret single variable data: tables and diagrams2.02f Measures of average and spread2.02g Calculate mean and standard deviation |
| Answer | Marks | Guidance |
|---|---|---|
| Answer | Marks | Guidance |
| \(200\) | B1 | |
| Total: [1] |
| Answer | Marks | Guidance |
|---|---|---|
| Answer | Marks | Guidance |
| Horizontal lines from 150 and 50 on vertical axis to curve and vertical lines to horizontal axis | M1 | Mark the intention here — condone freehand drawn lines. Must use the diagram to score this mark. Condone values shown on the time axes |
| \(4.2 - 1.3 = 2.9\) | B1 | Allow 2.7 to 3.1 nfww. Answers in this range with no lines drawn on the diagram can score this mark provided no incorrect work seen. (M0B1 possible here). |
| Total: [2] |
| Answer | Marks | Guidance |
|---|---|---|
| Answer | Marks | Guidance |
| \(3.9 >\) *their* \(2.9\) (or comparison of which IQR is higher/lower) so amount of time spent cooking by people in village B is more variable than those in village A | B1 FT | Need to consider the statistical evidence (IQRs) so need a comparison of values (allow implicit comparison) and a conclusion (must see the word 'variable'). Must be a conclusion consistent with their comparison of values. FT their 3(b) value. 'More variable' is B0 (no IQRs compared). 'More variable as it's bigger' is B0 (no mention of IQRs). 'More variable as IQR is bigger' is B1. Additional incorrect reasons scores B0. |
| Total: [1] |
## Question 3(a):
| Answer | Marks | Guidance |
|--------|-------|----------|
| $200$ | B1 | |
| **Total: [1]** | | |
## Question 3(b):
| Answer | Marks | Guidance |
|--------|-------|----------|
| Horizontal lines from 150 and 50 on vertical axis to curve **and** vertical lines to horizontal axis | M1 | Mark the intention here — condone freehand drawn lines. **Must use the diagram to score this mark. Condone values shown on the time axes** |
| $4.2 - 1.3 = 2.9$ | B1 | Allow 2.7 to 3.1 nfww. Answers in this range with no lines drawn on the diagram can score this mark provided no incorrect work seen. (M0B1 possible here). |
| **Total: [2]** | | |
## Question 3(c):
| Answer | Marks | Guidance |
|--------|-------|----------|
| $3.9 >$ *their* $2.9$ (or comparison of which IQR is higher/lower) so amount of time spent cooking by people in village B is **more variable** than those in village A | B1 FT | Need to consider the statistical evidence (IQRs) so need a comparison of values (allow implicit comparison) and a conclusion (**must see the word 'variable'**). Must be a conclusion consistent with their comparison of values. FT their 3(b) value. 'More variable' is B0 (no IQRs compared). 'More variable as it's bigger' is B0 (no mention of IQRs). 'More variable as IQR is bigger' is B1. Additional incorrect reasons scores B0. |
| **Total: [1]** | | |3 A student conducts an investigation into the number of hours spent cooking per week by people who live in village A. The student represents the data in the cumulative frequency diagram below.
\section*{Hours spent cooking per week by people who live in village A}
\includegraphics[max width=\textwidth, alt={}, center]{ce94c1ea-ffe5-42d0-8f8a-43c47105d6bf-3_796_1494_918_233}
\begin{enumerate}[label=(\alph*)]
\item How many people were involved in the investigation?
\item Use the copy of the diagram in the Printed Answer Booklet to determine an estimate for the interquartile range.
The student conducts a similar investigation into the number of hours spent cooking per week by 200 people who live in village B.
The interquartile range is found to be 3.9 hours.
\item Explain whether the evidence suggests that the number of hours spent cooking by people who live in village B is more variable, equally variable or less variable than the number of hours spent cooking by people who live in village A .
\end{enumerate}
\hfill \mbox{\textit{OCR MEI AS Paper 2 2024 Q3 [4]}}