| Exam Board | OCR MEI |
|---|---|
| Module | S1 (Statistics 1) |
| Marks | 5 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Data representation |
| Type | Direct frequency calculation from histogram |
| Difficulty | Easy -1.3 This is a straightforward histogram reading exercise requiring basic frequency density calculations (frequency = density × width), identification of obvious positive skew, and simple range arithmetic. All three parts are routine recall/application with no problem-solving or conceptual depth required. |
| Spec | 2.02b Histogram: area represents frequency |
# Question 1
## (i)
M1 for $1000 \times 0.2 \times 65 = 13$ or $0.2 \times 65 = 13$ or $1000 \times 0.013 = 13$
A1 for $13$
**Guidance:** Allow with or without working. For MR $1000 \times 0.13 = 130$ allow M1A0. Allow M1A0 if extra terms added e.g. $1000 \times 0.004$. SC1 for $1000 \times 0.014 = 14$ for whole calculation.
## (ii)
B1 for Positive
**Guidance:** Allow $+ve$ but NOT "skewed to the right". Do not allow "positive correlation".
## (iii)
B1 for Minimum value $= 1500$ without wrong working
B1 for Maximum value $= 2500$ without wrong working
**Guidance:** Exact answers only unless good explanation such as e.g. no road has length zero so min is e.g. $1501$. SC1 for lower answer between $1499$ and $1501$ and upper between $2499$ and $2501$. Allow answer given as inequality.
**TOTAL: 5**1 In the Paris-Roubaix cycling race, there are a number of sections of cobbled road. The lengths of these sections, measured in metres, are illustrated in the histogram.\\
\includegraphics[max width=\textwidth, alt={}, center]{3aabac69-ead8-40e4-b06f-5e812bb02906-1_897_1398_494_410}\\
(i) Find the number of sections which are between 1000 and 2000 metres in length.\\
(ii) Name the type of skewness suggested by the histogram.\\
(iii) State the minimum and maximum possible values of the midrange.
\hfill \mbox{\textit{OCR MEI S1 Q1 [5]}}