Web & data
An organised store of data that many programs and users can search, add to and change at the same time without mixing it up.
Formal
A structured collection of data run by a database management system, which lets programs look up, insert, update and delete records through a query language such as SQL while keeping the data correct when many changes happen at once.
In plain English
Like a well-run warehouse with a stock list - every item has a fixed place and a line in the list, so staff can find, add or move goods in seconds, and two clerks never undo each other's changes.
In practice
When a customer orders from a Danish web shop, the web application writes the order, the address and the new stock count to the database as one step, so a crash halfway never leaves half an order.
Why it matters
The database is often where an organisation's most valuable data lives, so who can reach it and what they may ask of it decides how bad a breach can be.