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Z-Scorenoun

The service-level factor that converts a service target into safety stock.

The Z-score is the number of standard deviations of demand variability you choose to cover. It is the bridge between a service-level target and an actual stock quantity: choose 95% service and Z is about 1.65.

Because the normal curve flattens at the top, the last few points of service are the expensive ones. Moving from 95% to 99% lifts Z from 1.65 to 2.33 — roughly 40% more safety stock for four points of service.

How it is calculated

Z = 1.65 at 95% · 2.05 at 98% · 2.33 at 99% service

Multiply Z by the standard deviation of demand over lead time to get safety stock.

Also called

  • service factor
  • safety factor

Z-Score is not just a definition here

Inventory runs on this vocabulary every day in AWRA OpsHub — 44 of our 257 glossary terms describe things the platform actually does.