Final answer:
ISO 9001:2008 is the most comprehensive standard for a quality management system for organizations in both the private and public sector.
Step-by-step explanation:
The most comprehensive standard for a quality management system for organizations in both the private and public sector is ISO 9001:2008. This standard is part of the ISO 9000 family of standards, which provides guidelines and tools for organizations to implement and maintain an effective quality management system.
ISO 9001:2008 sets out the criteria for a quality management system and is based on a number of quality management principles, including a strong customer focus, leadership, involvement of people, process approach, and continual improvement.
Other standards mentioned, such as ISO 10011 and ISO 10010, are specific to auditing and measuring processes within a quality management system, while ISO 9004 provides guidelines for improving performance beyond the basic requirements of ISO 9001.