Final answer:
An interactive graphical representation of data that allows user manipulation of groupings is known as a pivot chart, which provides a dynamic and flexible way of analyzing data.
Step-by-step explanation:
The interactive graphical representation of data that allows a user to change the groupings is known as a pivot chart. A pivot chart is a dynamic and interactive way of visualizing data from pivot tables in spreadsheet programs like Microsoft Excel. They enable users to easily manipulate aspects of the chart, such as the range of data displayed, the way data is summarized, and the organization of data series, providing a powerful tool for in-depth data analysis. Other types of charts, such as chart sheets, graph tables, and data charts, typically do not offer the same level of interactivity and flexibility in data manipulation.