Claire rolls a six‑sided die 16 times.
The scores obtained are shown in the following frequency table.
| Score | Frequency |
|---|---|
| 1 | p |
| 2 | q |
| 3 | 4 |
| 4 | 2 |
| 5 | 0 |
| 6 | 3 |
It is given that the mean score is 3.
(a) Find the value of p and the value of q.
Each of Claire’s scores is multiplied by 10 in order to determine the final score for a game she is playing.
(b) Write down the mean final score.