* Examination focuses on the *process* of gathering information. It's about testing knowledge, skills, or abilities through a specific method like a test, interview, or physical inspection. The output is usually a set of data or observations. Think of a doctor's examination or a student taking a final exam.
* Evaluation focuses on the *judgment* or interpretation of that information. It's about making a determination of value, merit, or significance based on the data gathered. This involves analyzing the results of the examination and drawing conclusions. A teacher grading an exam and providing feedback, or a doctor diagnosing a patient based on their examination findings, are examples of evaluation.
In short: Examination is the act of gathering data; evaluation is the act of interpreting and judging that data. Evaluation often, but not always, follows an examination. You can have an evaluation without a formal examination (e.g., evaluating a business proposal), but an examination usually leads to some form of evaluation.