To find the average moving range, you first calculate the moving range and then average those values. The moving range represents the absolute difference between consecutive measurements.
Steps to Calculate the Average Moving Range
Here’s a breakdown of the process:
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Calculate the Moving Range: The moving range is calculated by taking the absolute difference between consecutive measurements. This often involves measurements at the same location from two consecutive groups.
- For example, according to provided reference, if location 'a' in group 2 is 0.6813 and location 'a' in group 3 is 0.6811, the moving range between these two groups is calculated as |0.6813 - 0.6811| = 0.0002.
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Calculate Additional Moving Ranges: Repeat step 1 for all consecutive data points in your data set. For each pair of consecutive data points, record the moving range.
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Calculate the Average Moving Range: Once you have calculated all the individual moving ranges, find the average of these values. This average is the average moving range.
Example
Let's say you have the following data for a specific location across five consecutive groups:
| Group | Measurement |
|---|---|
| 1 | 0.5000 |
| 2 | 0.6813 |
| 3 | 0.6811 |
| 4 | 0.6809 |
| 5 | 0.6808 |
Here's how you would calculate the average moving range:
- Moving Range (Group 1 & 2): |0.5000 - 0.6813| = 0.1813
- Moving Range (Group 2 & 3): |0.6813 - 0.6811| = 0.0002
- Moving Range (Group 3 & 4): |0.6811 - 0.6809| = 0.0002
- Moving Range (Group 4 & 5): |0.6809 - 0.6808| = 0.0001
Now, calculate the average of these moving ranges:
(0.1813 + 0.0002 + 0.0002 + 0.0001) / 4 = 0.04545
Therefore, the average moving range for this data is 0.04545.
