Normalize and normalise are both English terms.
Normalize is predominantly used in 🇺🇸 American (US) English (en-US) while normalise is predominantly used in 🇬🇧  British English (used in UK/AU/NZ) (en-GB).
In terms of actual appearance and usage, here's a breakdown by country, with usage level out of 100 (if available) 👇:
| Term | US | UK | India | Philippines | Canada | Australia | Liberia | Ireland | New Zealand | Jamaica | Trinidad & Tobago | Guyana | 
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| normalize | 99 | 48 | 72 | 96 | 95 | 48 | 0 | 63 | 50 | 100 | 100 | 0 | 
| normalise | 1 | 52 | 28 | 4 | 5 | 52 | 0 | 37 | 50 | 0 | 0 | 0 | 
Below, we provide some examples of when to use normalize or normalise with sample sentences.
(Examples are Wikipedia snippets under the CC ShareAlike 3.0 license.)