People who plays drum need to have good sense of rhythm. They always need to lead the band and give them the basic rhythm. If drummer makes some mistakes during the performance, it will become an irreparable mistake.
Performance
On the stage, drummer will become the most attractive person. They need to have exaggerated body movements and eye contact with audience. If a drummer just sit there and play, the atmosphere will become very dull.
Calm mind
Jazz drummer need to have a calm mind at any time. Other members of the band could make mistakes. However, drummers can not make mistakes with them together, and they have to be calm down and keep the rhythm until other people correct their mistakes.