Which method allows programmers to change the order of data elements in a collection?

The method that allows programmers to change the order of data elements in a collection is sorting. Sorting is a fundamental operation that organizes the elements of a data structure in a specific sequence, typically ascending or descending order, based on a particular attribute or key. This process is essential in various programming tasks, such as preparing data for search algorithms, improving readability, or optimizing processing efficiency.

In contrast, filtering is used to create a new collection consisting only of elements that meet specific criteria, while aggregating involves combining multiple data elements into a single summary value, such as calculating a total or an average. Formatting pertains to the presentation of data rather than changing the order of the elements themselves. Sorting is, therefore, the correct answer as it directly manages the arrangement of data.