All sprints - Mean
The average value can be useful to compare the mid-term and long-term periods within one team or between teams:
All sprints - Median
When dealing with unusual sprints, such as those prolonged due to holidays, which may show anomalously high or low velocity, you can select the Median to avoid these outliers. This provides a more statistically accurate velocity value to rely on for planning:
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Moving average - Mean
The moving average can show the dynamics behind the metric - are we going good or bad?