Hasty generalization
Hasty generalization is an informal fallacy of faulty generalization by reaching an inductive generalization based on insufficient evidence—essentially making a hasty conclusion without considering all of the variables. In statistics, it may involve basing broad conclusions regarding the statistics of a survey from a small sample group that fails to sufficiently represent an entire population.^{[1]} Its opposite fallacy is called slothful induction, or denying a reasonable conclusion of an inductive argument (e.g. "it was just a coincidence").
Examples
Hasty generalization usually shows this pattern
 X is true for A.
 X is true for B.
 X is true for C.
 X is true for D.
 Therefore, X is true for E, F, G, etc.
For example, if a person travels through a town for the first time and sees 10 people, all of them children, he may erroneously conclude that there are no adult residents in the town.
Or: A person is looking at a number line. The number 1 is a square number; 3 is a prime number, 5 is a prime number, and 7 is a prime number; 9 is a square number; 11 is a prime number, and 13 is a prime number. Therefore, the person says, all odd numbers are either prime or square. In reality, 15 is a counterexample.
Alternative names
The fallacy is also known as:
 Illicit generalization
 Fallacy of insufficient sample
 Generalization from the particular
 Leaping to a conclusion
 Hasty induction
 Law of small numbers
 Unrepresentative sample
 Secundum quid
When referring to a generalization made from a single example it has been called the fallacy of the lonely fact^{[2]} or the proof by example fallacy.^{[3]}
When evidence is intentionally excluded to bias the result, it is sometimes termed the fallacy of exclusion and is a form of selection bias.^{[4]}
See also

References
 ↑ "Fallacy: Hasty Generalization (Nizkor Project)". Retrieved 20081001.
 ↑ Fischer, David Hackett (1970). Historians' Fallacies: Toward a Logic of Historical Thought. HarperCollins. pp. 109–110. ISBN 9780061315459.
 ↑ Marchant, Jamie. "Logical Fallacies". Retrieved 20110426.
 ↑ "Unrepresentative Sample". Retrieved 20080901.
External links
 Common Logical Fallacies in Propaganda and Debate
 Fallacy: Hasty Generalization, Michael C. Labossiere's Fallacy Tutorial Pro
 Hasty Generalization, The Fallacy Files