Comprehensive Step by Step Explanation:

A run chart is the best tool to display quarterly comparisons of patient satisfaction surveys. Here’s why:

Purpose of the Tools: Each of the tools mentioned in the options serves a different purpose.

A fishbone diagram (also known as Ishikawa or cause and effect diagram) is used for root cause analysis. It helps identify, explore, and display the possible causes of a specific problem or quality characteristic1.

A pie chart is a type of graph in which a circle is divided into sectors that each represent a proportion of the whole1. It’s useful for showing simple proportional part-to-whole information, but it’s not ideal for comparisons over time1.

A flowchart is a type of diagram that represents a workflow or process, showing the steps as boxes of various kinds, and their order by connecting them with arrows1. This diagrammatic representation can give a step-by-step solution to a given problem.

A run chart, on the other hand, is a graph that displays observed data in a time sequence1. It is an effective tool to use for displaying and analyzing the trend of data over time1.

Why Run Chart: In the context of displaying quarterly comparisons of patient satisfaction surveys, a run chart is the most appropriate tool. It allows for the visualization of data trends over time, which is exactly what’s needed when comparing patient satisfaction on a quarterly basis1. The x-axis represents time (in this case, quarters), and the y-axis represents the variable being measured (in this case, patient satisfaction). Each point on the chart represents a specific time period’s data (a quarter’spatient satisfaction survey results). The points are connected in the order of the time periods, creating a line that makes trends easy to spot1.

Limitations of Other Tools: The other tools (fishbone diagram, pie chart, and flowchart) are not designed to display trends over time, which is crucial when comparing quarterly data1.

Therefore, based on the purpose of eachtool and the need to display trends over time, a run chart is the best tool to display quarterly comparisons of patient satisfaction surveys.