Aperson who is always the center of attention and comfortable being a leader probably has what kind of authority, according to weber's theory?

The correct answer is known as Charismatic Authority.

Charisma is a historical Greek term or word  start with received prominence via Saint Paul's letters to the rising Christian communities in the first century, on this context, it usually referred to a divinely-originating "gift" that validated the authority of God within the early leaders of the Church. Max Weber took this difficulty to understand theological concept and generalized it.