Analyze, which is analyse outside the US, means to intently inspect an object or person. This inspection can be with the intent to discover, explain, quantify, or reveal. One can analyze a person, grammar, or any number of fields of study.
When someone, outside of the US, inspects something, he or she analyses it. The final syllable is pronounced the same way it is in the US (zehz).
An analysis is the process or outcome of analyzing, the process of inspecting something closely to discover more about it.
The plural for analysis is analyses. The final syllable is pronounced (seez).