Foundation June 2017 Paper 1 Q17
17. Dev buys and downloads music.
The number of tracks he buys in one month and the approximate prices paid are shown in the table below.
| Price per track (pence) | 70 | 80 | 90 | 100 |
|---|---|---|---|---|
| Frequency | 5 | 1 | 2 | 2 |
(a) Using the values in the table, calculate an estimate of the mean price paid per track. [3]
(b)
All of the actual prices paid were rounded up to give the values in the table.
Is the mean price per track higher or lower than your estimate in part (a)?
Give a reason for your answer. [1]
| Scheme | Marks | Comments |
|---|---|---|
| \(70 \times 5 + 80 \times 1 + 90 \times 2 + 100 \times 2\) (= 810) | M1 | Allow one slip |
| 810 ÷ 10 | m1 | FT ‘their 810’ |
| 81(p) or (£)0.81 | A1 | CAO |
| Scheme | Marks | Comments |
|---|---|---|
| ‘Lower’ and valid comment e.g. ‘The prices are lower than the ones in the table’ or ‘Because the values in the table have been rounded up’ | E1 | Allow eg ‘Lower because all the numbers would be smaller’ Allow justification to be by calculation as well as comment |
| (4) |