According to the PMBOK® Guide, the tools mentioned (Control charts, flowcharting, histograms, Pareto charts, and scatter diagrams) are part of the Seven Basic Quality Tools (also known as 7QC Tools). These are primarily utilized within the Control Quality process (referred to as Perform Quality Control in older PMI editions).

The Control Quality process is the activity of monitoring and recording results of executing the quality activities to assess performance and recommend necessary changes.

Statistical Process Control: Tools like Control Charts and Scatter Diagrams are used to determine if a process is stable or has predictable performance.

Identifying Variance: Pareto Charts (based on the 80/20 rule) help the team identify the vital few sources that are causing the most defects.

Data Visualization: Histograms and Flowcharts allow the project manager to visualize the distribution of data and the logic of the process to find where failures are occurring.

Output: The use of these tools results in Quality Control Measurements, which are then used as an input to Quality Assurance to verify the project ' s standards.

B. Perform Quality Assurance: While QA (Manage Quality) uses some of these tools, its primary focus is on the process rather than the specific product results. QA typically uses tools like Quality Audits, Process Analysis, and Design for X (DfX).

C. Plan Quality: This process identifies which quality standards are relevant to the project and determines how to satisfy them. While you might plan to use these tools here, the actual application of " Control Charts " and " Histograms " to measure results happens during Control Quality.

D. Report Performance: This is a communications management process. While it might include quality data in a status report, it is not the process where these specific statistical tools are used to analyze quality.

The Control Quality process is focused on the correctness of the deliverables. It is often performed throughout the project to formally demonstrate, with reliable data, that the sponsor’s and customer’s acceptance criteria have been met.