| Exam Board | OCR MEI |
|---|---|
| Module | AS Paper 2 (AS Paper 2) |
| Year | 2023 |
| Session | June |
| Marks | 3 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Measures of Location and Spread |
| Type | Vertical line chart construction |
| Difficulty | Easy -1.8 This is a straightforward AS-level statistics question requiring basic critique of a graph representation and routine calculations of mean and standard deviation from a frequency table. Part (a) requires recognizing that discrete data shouldn't be shown with a continuous representation (likely a line graph or histogram), while part (b) involves standard formula application with no problem-solving or conceptual challenge beyond basic statistical literacy. |
| Spec | 2.02a Interpret single variable data: tables and diagrams2.02f Measures of average and spread2.02g Calculate mean and standard deviation |
| Number of different social media platforms | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 |
| Frequency | 2 | 5 | 9 | 15 | 8 | 5 | 4 | 1 |
| Answer | Marks | Guidance |
|---|---|---|
| The given data (on the graph) is continuous, not discrete | E1 | Need a comment on the suitability of the histogram for the given data – must comment on the type(s) of data. The data is discrete so there should be gaps between the bars / histogram uses ranges e.g. 6-7 but data is discrete and cannot have values between 6-7 |
| Answer | Marks | Guidance |
|---|---|---|
| \(3.183\ldots\) to \(3.184\) or \(3.18\) | B1 | Exact value is \(3.183673469\) or \(3\frac{9}{49}\) or \(\frac{156}{49}\). Allow if seen in (b)(ii). SC: 3.2 allow B1 |
| Answer | Marks | Guidance |
|---|---|---|
| \(1.61\ldots\) to \(1.62\) OR \(1.59\ldots\) to \(1.60\) | B1 | Exact value is \(1.615980989\) (sample). Exact value is \(1.599406387\) (population) |
# Question 1:
## Part (a)
The given data (on the graph) is continuous, not discrete | E1 | Need a comment on the suitability of the histogram for the given data – must comment on the type(s) of data. The data is discrete so there should be gaps between the bars / histogram uses ranges e.g. 6-7 but data is discrete and cannot have values between 6-7
## Part (b)(i)
$3.183\ldots$ to $3.184$ or $3.18$ | B1 | Exact value is $3.183673469$ or $3\frac{9}{49}$ or $\frac{156}{49}$. Allow if seen in (b)(ii). SC: 3.2 allow B1
## Part (b)(ii)
$1.61\ldots$ to $1.62$ OR $1.59\ldots$ to $1.60$ | B1 | Exact value is $1.615980989$ (sample). Exact value is $1.599406387$ (population)
---1 A researcher collects data concerning the number of different social media platforms used by school pupils on a typical weekday.
The frequency table for the data is shown below.
\begin{center}
\begin{tabular}{ | l | c | c | c | c | c | c | c | c | }
\hline
Number of different social media platforms & 0 & 1 & 2 & 3 & 4 & 5 & 6 & 7 \\
\hline
Frequency & 2 & 5 & 9 & 15 & 8 & 5 & 4 & 1 \\
\hline
\end{tabular}
\end{center}
The researcher uses software to represent the results in this diagram.\\
\includegraphics[max width=\textwidth, alt={}, center]{82438df0-6550-4ffd-92d8-3c67bec59a6b-04_961_1195_737_242}
\begin{enumerate}[label=(\alph*)]
\item Explain why this diagram is inappropriate.
\item Calculate the following for the number of social media platforms used:
\begin{enumerate}[label=(\roman*)]
\item the mean,
\item the standard deviation.
\end{enumerate}\end{enumerate}
\hfill \mbox{\textit{OCR MEI AS Paper 2 2023 Q1 [3]}}