Tobi S. answered 09/13/23
Stanford PhD with 20+ years of teaching, mentoring, and tutoring!
The objective characterization of rank-based taxonomy attempts to categorize organisms by grouping them by common characteristics that would be commonly recognized by anyone. The subjective nature of rank-based taxonomy is the classification system itself. There are numerous ways to categorize, so not everyone would come up with the same type of taxonomy structure.
Objective: Vertebrates - Grouping organisms that have or don't have a backbone. People could sort organisms objectively based on whether or not they have a backbone.
Subjective: Instead of categorizing by backbone, someone might decide to group organisms by the presence or absence of tails.