Display screen with an animated graphical user interface for monitoring data flow

FIG. 1 is a front view of a first image in a sequence for a display screen with an animated graphical user interface for monitoring data flow;

FIG. 2 is a front view of a second image thereof;

FIG. 3 is a front view of a third image thereof;

FIG. 4 is a front view of a fourth image thereof;

FIG. 5 is a front view of a fifth image thereof;

FIG. 6 is a front view of a sixth image thereof; and,

FIG. 7 is a front view of a seventh image thereof.

The outermost broken line showing a display screen forms no part of the claimed design. The interior, relatively thin, broken line showing of the text and graphical elements form no part of the claimed design.

The appearance of the image transitions sequentially between the images shown in FIGS. 1 - 7 . The process or period in which an image transitions to another forms no part of the claimed design.