| Exam Board | OCR MEI |
|---|---|
| Module | Paper 2 (Paper 2) |
| Year | 2018 |
| Session | June |
| Marks | 2 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Measures of Location and Spread |
| Type | Calculate statistics from discrete frequency table |
| Difficulty | Easy -1.3 This is a straightforward calculation of mean and standard deviation from a discrete frequency table using standard formulas. It requires only routine application of statistical formulas with no problem-solving or conceptual insight—purely mechanical computation that any A-level student should handle with basic calculator work. |
| Spec | 2.02f Measures of average and spread2.02g Calculate mean and standard deviation |
| Number of cars | 0 | 1 | 2 | 3 | 4 |
| Number of households | 8 | 22 | 31 | 27 | 7 |
| Answer | Marks | Guidance |
|---|---|---|
| Answer | Marks | Guidance |
| \(2.031578947\ldots\) rounded to two or more sf isw BC | B1 (AO1.1) | NB 2.0, 2.03 or 2.032 |
| [1] |
| Answer | Marks | Guidance |
|---|---|---|
| Answer | Marks | Guidance |
| \(1.076367330\ldots\) rounded to two or more sf isw BC | B1 (AO1.1) | NB 1.1, 1.08 or 1.076 |
| [1] |
## Question 4(i):
| Answer | Marks | Guidance |
|--------|-------|----------|
| $2.031578947\ldots$ rounded to two or more sf isw BC | B1 (AO1.1) | NB 2.0, 2.03 or 2.032 |
| **[1]** | | |
## Question 4(ii):
| Answer | Marks | Guidance |
|--------|-------|----------|
| $1.076367330\ldots$ rounded to two or more sf isw BC | B1 (AO1.1) | NB 1.1, 1.08 or 1.076 |
| **[1]** | | |
---4 A survey of the number of cars per household in a certain village generated the data in Fig. 4.
\begin{table}[h]
\begin{center}
\begin{tabular}{ | l | c | c | c | c | c | }
\hline
Number of cars & 0 & 1 & 2 & 3 & 4 \\
\hline
Number of households & 8 & 22 & 31 & 27 & 7 \\
\hline
\end{tabular}
\captionsetup{labelformat=empty}
\caption{Fig. 4}
\end{center}
\end{table}
(i) Calculate the mean number of cars per household.\\
(ii) Calculate the standard deviation of the number of cars per household.
\hfill \mbox{\textit{OCR MEI Paper 2 2018 Q4 [2]}}