All statistics and graphs for EWMA Chart

Find definitions and interpretation guidance for every statistic and graph that is provided with the EWMA chart.

Plotted points

The plotted points on the EWMA chart are the exponentially weighted moving averages. Each EWMA point incorporates information from all the previous subgroups or observations based on the weight that you specify.


If the process is in control, the points vary randomly around the center line, and the process exhibits only common-cause variation. Investigate points that fall outside the control limits or that exhibit nonrandom patterns for possible special-cause variation.

Center line

The center line is an estimate of the process average, which is the overall average of the exponentially-weighted moving averages.


Use the center line to observe how the process performs compared to the average. If the process is in control, then the points vary randomly around the center line.


Do not confuse the center line with the target value for your process. The target is your desired outcome. The center line is the actual outcome.

Control limits

Control limits are the horizontal lines that are above and below the center line. The control limits indicate whether a process is out of control, and they are based on the observed variation within subgroups and on the expected variation in the plotted points. By default, Minitab displays control limits at 3 standard deviations above and below the center line.

Do not confuse control limits with specification limits. Specification limits represent customer requirements and indicate the amount of variation that you want to see in the process. Control limits represent the actual amount of variation that is in the sample data. A process can be in control, yet not be capable of meeting specifications.

Test for special causes

The tests for special causes assess whether the plotted points are randomly distributed within the control limits.


Use the tests for special causes to determine which observations you may need to investigate and to identify specific patterns and trends in your data. The test for special causes detects a specific pattern or trend in your data, which reveals a different aspect of process instability.

Standard deviation

The standard deviation measures the overall variability in the data. Minitab does not display the standard deviation on the chart, but uses it to calculate the center line and the control limits. To store the standard deviation in the worksheet, select it on the Storage tab of the Options dialog box.


Use stages to create a historical control chart that shows how a process changes over specific periods of time. By default, Minitab recalculates the center line and control limits for each stage. For more information, go to Add stages to show how a process changed.


This historical control chart shows three stages of a process, which represent before, during, and after the implementation of a new procedure.

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