| Exam Board | OCR MEI |
|---|---|
| Module | S1 (Statistics 1) |
| Year | 2007 |
| Session | June |
| 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, convert to frequencies using the given scale (1 square = 20 customers), and perform basic calculations. While it requires understanding the relationship between area and frequency, this is a standard S1 skill with no conceptual complexity or multi-step problem-solving beyond routine application of the histogram-to-table conversion method. |
| Spec | 2.02b Histogram: area represents frequency |
| Answer | Marks | Guidance |
|---|---|---|
| Amount | \(0\)–\(<20\) | \(20\)–\(<50\) |
| Frequency | 800 | 480 |
| B1 for amounts, B1 for frequencies | 2 marks |
| Answer | Marks | Guidance |
|---|---|---|
| Total \(\approx 10\times800 + 35\times480 + 75\times400 + 150\times200 = \pounds84800\) | M1 for their midpoints \(\times\) their frequencies, A1 CAO | 2 marks |
# Question 2:
## Part (i)
| Amount | $0$–$<20$ | $20$–$<50$ | $50$–$<100$ | $100$–$<200$ |
|--------|-----------|------------|-------------|--------------|
| Frequency | 800 | 480 | 400 | 200 |
B1 for amounts, B1 for frequencies | 2 marks
## Part (ii)
Total $\approx 10\times800 + 35\times480 + 75\times400 + 150\times200 = \pounds84800$ | M1 for their midpoints $\times$ their frequencies, A1 CAO | 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]{5e4f3310-b96e-43db-9b6d-61da3270db06-2_977_1132_808_340}\\
□ represents 20 customers\\
(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 2007 Q2 [4]}}