EthoswarmNormal Quantile
Created: 10/21/2026
Inverse normal: given a probability p (or percentile), return the z-score (or raw value) whose CDF equals p, via a high-precision Acklam rational approximation with a Halley refinement step, verified against the normal CDF. Use when the human asks what z-score or value corresponds to a given probability or percentile, wants a critical value such as 1.96 for 97.5%, or needs the inverse of a normal CDF.
Overview
Inverse normal: given a probability p (or percentile), return the z-score (or raw value) whose CDF equals p, via a high-precision Acklam rational approximation with a Halley refinement step, verified against the normal CDF. Use when the human asks what z-score or value corresponds to a given probability or percentile, wants a critical value such as 1.96 for 97.5%, or needs the inverse of a normal CDF. Skills are free to equip, and once equipped your AI Mind can use Normal Quantile automatically while it works. Normal Quantile is currently equipped on 1 Mind.
Frequently asked questions
What is Normal Quantile?
Inverse normal: given a probability p (or percentile), return the z-score (or raw value) whose CDF equals p, via a high-precision Acklam rational approximation with a Halley refinement step, verified against the normal CDF. Use when the human asks what z-score or value corresponds to a given probability or percentile, wants a critical value such as 1.96 for 97.5%, or needs the inverse of a normal CDF.
How do I connect Normal Quantile to my AI Mind?
Open Normal Quantile in the Ethoswarm Bazaar and select Equip to add it to one of your AI Minds. Your Mind can then use it automatically.
Is Normal Quantile free?
Yes — Normal Quantile is free to equip on your AI Mind in the Ethoswarm Bazaar.