The bit depth of a digital audio file is the number of bits used to store each individual sound sample.
The table below shows the sampled amplitude values recorded at 1 ms intervals for a brief audio clip.
| Time (ms) | Sampled Amplitude |
|---|---|
| 0 | 0 |
| 1 | 10 |
| 2 | 5 |
| 3 | 12 |
| 4 | 7 |
| 5 | 2 |
| 6 | 11 |
State the minimum bit depth needed to store the sampled sound shown in the table.
Justify your answer.