When do we use the average range instead of the average moving range?

In summary, the average range is used when the process is stable and does not exhibit significant changes over time. It is calculated by finding the difference between the highest and lowest data points and dividing it by the number of samples. The advantage of using the average range is that it is easier to calculate and interpret compared to the average moving range, and it provides a more accurate representation of the process variation. However, it is only suitable for continuous data that is normally distributed and has a stable process. The average range can also help in process improvement by identifying changes and trends over time, allowing for timely adjustments to be made.
  • #1
EdmureTully
20
0

Homework Statement





Homework Equations



=̿+2̅, =̿−2

=4̅, =3̅

The Attempt at a Solution



From what I gather, we can use the sample range, which is the max minus the min, or the average moving range which is the sum of the preceding value minus the current value divided by the number of moving ranges.

For the equations mentioned above, can we use anyone of them or can we just use the average of moving ranges?

What does R stand for, average moving ranges or sample range or both?
 
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  • #2
Yer equation don't like right.
 

Related to When do we use the average range instead of the average moving range?

1. When do we use the average range instead of the average moving range?

The average range is typically used when the process being measured is stable and does not exhibit significant changes over time. This means that the data points do not vary greatly from one another and the average range can accurately represent the variation within the process.

2. How is the average range calculated?

The average range is calculated by finding the difference between the highest and lowest data points and dividing it by the number of samples. This gives an average range value that represents the variation within the process.

3. What is the advantage of using the average range over the average moving range?

The average range is easier to calculate and interpret compared to the average moving range. It also provides a more accurate representation of the variation within the process when the process is stable.

4. Can the average range be used for all types of data?

No, the average range is most suitable for continuous data that is normally distributed and has a stable process. For data that is not normally distributed or has a non-stable process, alternative methods such as the average moving range or other control charts should be used.

5. How does the average range help in process improvement?

The average range can help identify changes in the process that may lead to improvements. By monitoring the average range over time, any significant changes or trends can be detected, allowing for timely adjustments to be made to improve the process and reduce variation.

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