An analytical chemist measures the melting point of three different recrystallised batches of benzoic acid, labelled A, B, and C. The measured melting point data is recorded in the table below.
| Batch | Melting point / °C |
|---|---|
| A | 112–117 |
| B | 122 |
| C | 115–119 |
Determine whether each batch is pure or impure, and justify your conclusions using the information provided.