Final answer:
The style of data-centered architecture is the Repository style, where data is stored in a central repository. Other styles mentioned in the question are not specific to data-centered architecture.
Step-by-step explanation:
The style of data-centered architecture is the Repository style. In this architecture, data is stored in a central repository which acts as a single source of truth. Various components of the system interact with the repository to access and update the data. This style provides a centralized approach to data management and ensures data consistency and integrity.
For example, in a web application, the database can be considered as the repository where all the data is stored. The different layers or components of the application can then access and manipulate the data stored in the repository.
Other styles mentioned in the question, such as Layered, Master-slave, and Main-subroutine are not specific to data-centered architecture.