| Exam Board | OCR MEI |
|---|---|
| Module | S1 (Statistics 1) |
| Marks | 4 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Data representation |
| Type | Complete frequency table from histogram only |
| Difficulty | Moderate -0.8 This is a straightforward histogram interpretation question requiring students to read frequency densities and convert to frequencies using class widths, then perform a basic calculation using midpoints. It tests routine skills with no problem-solving or conceptual challenges beyond standard S1 content. |
| Spec | 2.02b Histogram: area represents frequency |
| Answer | Marks | Guidance |
|---|---|---|
| Amount | \(0-<\) | \(20-\) |
| Frequency | 800 | 480 |
| B1 for amounts | B1 | — |
| B1 for frequencies | B1 | — |
| Answer | Marks |
|---|---|
| M1 | M1 for their midpoints \(\times\) their frequencies |
| A1 | CAO |
# Question 2:
## Part (i)
| Amount | $0-<$ | $20-$ | $50-<$ | $100-$ | $0$ |
|--------|--------|--------|---------|---------|-----|
| Frequency | 800 | 480 | 400 | 200 | |
B1 for amounts | B1 | —
B1 for frequencies | B1 | —
**Total: 2 marks**
## Part (ii)
$\text{Total} \approx 10\times800 + 35\times480 + 75\times400 + 150\times200 = \text{£}84800$
| M1 | M1 for their midpoints $\times$ their frequencies |
| A1 | CAO |
**Total: 2 marks**
---2 The histogram shows the amount of money, in pounds, spent by the customers at a supermarket on a particular day.\\
\includegraphics[max width=\textwidth, alt={}, center]{c7cb0f6b-7b6b-4c52-8287-7efc6bd70247-2_985_1473_470_379}\\
(i) Express the data in the form of a grouped frequency table.\\
(ii) Use your table to estimate the total amount of money spent by customers on that day.
\hfill \mbox{\textit{OCR MEI S1 Q2 [4]}}