Foundation June 2022 Paper 3 Q14
14 20 students are asked how many video games they played last month.
The chart shows information about the results.
(a) How many students played more than 2 games? [1 mark]
(b) Work out the mean number of games played.
Give your answer as a decimal. [3 marks]
| Answer | Mark | Comments |
|---|---|---|
| 8 | B1 |
| Answer | Mark | Comments |
|---|---|---|
| \(1 \times 7\) and \(2 \times 5\) and \(3 \times 4\) and \(4 \times 1\) and \(5 \times 3\) or 7 and 10 and 12 and 4 and 15 or 48 | M1 | oe allow one error or omission |
| \((7 + 10 + 12 + 4 + 15) \div 20\) or \(48 \div 20\) or their \(48 \div 20\) | M1dep | oe eg \(\dfrac{48}{20}\) or \(\dfrac{12}{5}\) or \(2\dfrac{2}{5}\) without working their 48 must be the correct sum of their products |
| 2.4 | A1 | SC1 33.75 |
Additional guidance
| \(48 \div 5\) | M1M0 |
| \(1 \times 7 + 2 \times 5 + 3 \times 4 + 4 \times 1 + 5 \times 5\) (\(5 \times 5\) is one error) \(58 \div 20 = 2.9\) | M1 M1A0 |
| \(8 + 10 + 12 + 4 + 15\) (8 is one error) \(49 \div 20 = 2.45\) | M1 M1A0 |
| Answer 2 after 2.4 seen | M1M1A0 |
| \(7 + 10 + 12 + 4 + 15 \div 20\) not recovered | M1M0 |
| Correct products or values seen but a different method used is a choice of methods | |
| eg 7 10 12 4 15 followed by \(20 \div 5\) or \(20 \div 15\) | M0 |