OCR MEI S1 — Question 2 5 marks

Exam BoardOCR MEI
ModuleS1 (Statistics 1)
Marks5
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicMeasures of Location and Spread
TypeVertical line chart construction
DifficultyEasy -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.
Spec2.02f Measures of average and spread

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.
Number of people1234
Frequency5031165
  1. Write down the median and mode of these data.
  2. Draw a vertical line diagram for these data.
  3. State the type of skewness of the distribution.

Question 2:
Part (i)
AnswerMarks Guidance
AnswerMarks Guidance
Median \(= 2\)B1 CAO
Mode \(= 1\)B1 CAO [2]
Part (ii)
AnswerMarks Guidance
AnswerMarks Guidance
Bar chart with correct heightsS1, H1 [2] S1 labelled linear scales on both axes; H1 heights
Part (iii)
AnswerMarks Guidance
AnswerMarks Guidance
PositiveB1 [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]}}