Higher November 2020 Paper 3 Q16
16 The number of goals scored by 20 players in a season is shown.
| Number of goals | Frequency | Midpoint | |
|---|---|---|---|
| 0 to 4 | 6 | ||
| 5 to 9 | 11 | ||
| 10 to 14 | 3 | ||
| Total = 20 |
Work out an estimate of the mean number of goals per player.
Give your answer as a decimal. [3 marks]
| Answer | Mark | Comments |
|---|---|---|
| \(2 \times 6\) or 12 and \(7 \times 11\) or 77 and \(12 \times 3\) or 36 or 125 | M1 | may be seen in table at least two correct products or their values |
| \(\dfrac{\text{their } 12 + \text{their } 77 + \text{their } 36}{20}\) or \(\dfrac{125}{20}\) or \(125 \div 20\) or \(6\dfrac{1}{4}\) | M1dep | oe condone bracket error if working seen eg condone \(12 + 77 + 36 \div 20\) |
| 6.25 | A1 |
Additional guidance
| 6.25 in working, 6 on answer line | M1M1A0 |
| \(125 \div 3\) | M1M0A0 |
| Correct product(s) seen in the table but a different method not using their product(s) used for the mean is choice eg 125 in table but mean calculated as \(20 \div 3 = 6.7\) | M0M0A0 |