Which method graphically depicts the time line and interrelationship of different stages of a program?

The method that graphically depicts the timeline and interrelationship of different stages of a program is the PERT chart. PERT, which stands for Program Evaluation and Review Technique, is specifically designed for analyzing the tasks involved in completing a project, especially when scheduling is crucial.

This technique enables project managers to visualize the sequence of tasks, their interdependencies, and the timeline for completion. Each task is represented as a node, and arrows show the relationship and order in which tasks must be completed. PERT is particularly helpful in project management to identify the critical path, which determines the shortest time to complete the project overall.

Other choices, while useful in their own contexts, do not fulfill this specific function. A flowchart is useful for displaying processes or decision paths but does not emphasize time or interrelationships among stages. A Gantt chart, while it visually represents project timelines and task durations, does not effectively show the complex interdependencies between tasks as clearly as a PERT chart does. A mind map is generally used for brainstorming and organizing ideas, rather than outlining specific timelines or task relationships within a structured program.