There is a concept of a database
-it is a collection of data organized in some way. For example, if you have a dressing room or a pantry in your apartment, then this whole room with all its contents can be considered a base (but not data, but things or jars of cucumbers, which does not change the essence).
There is a concept of a database management system (DBMS) - this is when the family sat down at the table and the youngest is sent to the pantry for cucumbers, he brings it and does not break it along the way. That is, a DBMS is some kind of tool for manipulating data in a database, for example, a program.