Fable
The clinic no longer only asked when the patient finally left
The teahouse promised guests that snacks would be served within one cup of tea after they were seated. When the shopkeeper only looked at the total time before guests left, he often heard the kitchen say "the average is not slow," yet could not find why one table waited so long.
The head waiter placed hourglasses at greeting, ordering, food delivery, plating and serving, and recorded the time for each table. Total latency was broken into multiple stages, making it possible to locate the slow point.
Most customers being fast does not mean the slowest batch has no problems. The accountant looks at P50, P95 and P99 at the same time, and segments by menu, time slot, kitchen and external supplier, to avoid averages masking the tail.
The records showed that the congestion happened when order slips were pressed into the corner of the counter, not at the steamer. The teahouse adjusted the handoff and observed a new round of quantiles to confirm whether the change improved the real experience.
Latency monitoring must cover end-to-end requests, first token, generation, tool calls, and tail latency; its value is turning "slow" into a locatable, comparable, governable operational signal.