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Why is it important plotting the 2.5th and 97.5th percentiles for delay measurements?

The 2.5th and 97.5th percentiles represent the one-way delay between two Test Boxes in a best-case and worst-case scenario respectively, just as the median (50th percentile) would indicate a normal value between two measurement points. In many cases, the so-called standard deviation can be used to describe this as well. However, for some of the delay distributions, it can be argued that the value cannot be properly calculated. Percentiles do not suffer from this problem