| Exam Board | OCR MEI |
|---|---|
| Module | S1 (Statistics 1) |
| Marks | 5 |
| 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 very straightforward question requiring only basic statistical definitions and a simple diagram. Part (i) involves reading the mode directly and finding the median by counting to the middle value. Part (ii) is a routine plotting task. Part (iii) requires recognizing positive skew from the tail, which is standard pattern recognition with no calculation needed. |
| Spec | 2.02f Measures of average and spread |
| Number of people | 1 | 2 | 3 | 4 |
| Frequency | 50 | 31 | 16 | 5 |
| Answer | Marks | Guidance |
|---|---|---|
| Answer | Marks | Guidance |
| Median \(= 2\) | B1 CAO | |
| Mode \(= 1\) | B1 CAO [2] |
| Answer | Marks | Guidance |
|---|---|---|
| Answer | Marks | Guidance |
| Bar chart with correct heights | S1, H1 [2] | S1 labelled linear scales on both axes; H1 heights |
| Answer | Marks | Guidance |
|---|---|---|
| Answer | Marks | Guidance |
| Positive | B1 [1] |
# Question 2:
## Part (i)
| Answer | Marks | Guidance |
|--------|-------|----------|
| Median $= 2$ | B1 CAO | |
| Mode $= 1$ | B1 CAO [2] | |
## Part (ii)
| Answer | Marks | Guidance |
|--------|-------|----------|
| Bar chart with correct heights | S1, H1 [2] | S1 labelled linear scales on both axes; H1 heights |
## Part (iii)
| Answer | Marks | Guidance |
|--------|-------|----------|
| Positive | B1 [1] | |
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2 In a traffic survey, the number of people in each car passing the survey point is recorded. The results are given in the following frequency table.
\begin{center}
\begin{tabular}{ | l | c | c | c | c | }
\hline
Number of people & 1 & 2 & 3 & 4 \\
\hline
Frequency & 50 & 31 & 16 & 5 \\
\hline
\end{tabular}
\end{center}
(i) Write down the median and mode of these data.\\
(ii) Draw a vertical line diagram for these data.\\
(iii) State the type of skewness of the distribution.
\hfill \mbox{\textit{OCR MEI S1 Q2 [5]}}