Foundation November 2019 Paper 3 Q17
17 The table shows the number of films watched one week by 30 people.
| Number of films | Frequency | |
|---|---|---|
| 0 | 5 | |
| 1 | 9 | |
| 2 | 8 | |
| 3 | 6 | |
| 4 | 2 |
Total = 30
(a) Write down the modal number of films watched. [1 mark]
(b) Work out the mean number of films watched per person. [3 marks]
| Answer | Mark | Comments |
|---|---|---|
| 1 | B1 |
Additional guidance
| 1 and frequency 9 | B1 |
| 1 and 9 times | B1 |
| 1 and 9 or 1, 9 | B0 |
| Answer | Mark | Comments |
|---|---|---|
| \((0 \times 5\) and) \(1 \times 9\) and \(2 \times 8\) and \(3 \times 6\) and \(4 \times 2\) or (0 and) 9 and 16 and 18 and 8 or 51 | M1 | allow one error |
| \((0 + 9 + 16 + 18 + 8) \div 30\) or \(51 \div 30\) or their \(51 \div 30\) | M1dep | without working their 51 must be the correct sum of their products |
| 1.7 | A1 | oe |
Additional guidance
| 1.7 seen with 2 on answer line | M1M1A1 |
| \((5 + 9 + 16 + 18 + 8) \div 30\) | M1M1 |
| Products 5 9 16 18 8 and \(55 \div 30\) | M1M0 |
| \(51 \div 5\) | M1M0 |
| \(0 + 9 + 16 + 18 + 8 \div 30\) unless recovered | M1M0 |
| Correct products seen with \(30 \div 5\) or \(30 \div 10\) | M0 |