The word independent has several related meanings depending on the context. Here are the most common definitions:
As an adjective: Not controlled by others: “She is an independent woman who makes her own decisions.”
Not connected or affiliated with a group or organization: “He is an independent candidate running for office.”
Self-sufficient or self-reliant: “After moving out, he became financially independent.”
Not influenced by others in opinion or behavior: “An independent thinker who challenges conventional wisdom.”
Separate from others; distinct: “Two independent events in probability theory.”
As a noun: A person who is not a member of a political party: “She votes as an independent in every election.”
A small business or entity not owned by a larger corporation: “The film was produced by an independent studio.”