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Bounded proportion

Concept

A proportion of a fixed defined population lies between zero and one.

Explanation or usage

Equivalently, its percentage lies between 0% and 100%. A model predicting beyond those bounds has left the feasible range for that quantity. The violation identifies a model limitation rather than a possible population proportion.

Common misunderstandings

A percentage representing a population share can exceed 100% if its historical slope stays positive.

In How Not to Be Wrong

General context reviewed · book attribution and sources pending

Physical or definitional bounds can help check whether a proposed long-run trend remains feasible.

Linked books

Practice this item

A line projects that 130% of a fixed population will join a club. What is the most direct diagnosis? A participation rate rose steadily for five years. Which forecast statement is most careful?