Model Minority and the Will Rogers Paradox
Will Rogers joked that “when the Okies left Oklahoma and moved to California, they raised the average intelligence in both states”.
The Will Rogers Paradox occurs when a group (G) with a certain characteristic moves from one population (A) to another (B).
Assume that characteristic has a range score (say, from 1 to 10).
Assume that members of the group (G) have a characteristic score of 5.
Members of population A, exclusive of G, each have characteristic scores of 7. The total in population A, including G, is 10, and the number in G is 5.
Members of population B, numbering 10, each have characteristic scores of 3.
The average characteristic score for population A (including G) is [(7x5 + 5x5)/10] 6.
The average characteristic score for population B (without G) is [3x10/10] 3.
When G leaves population A, the average characteristic score for A [7x5/5] 7.
When G joins population B, the average characteristic score of B is then [(10x3 + 5x5)/15] 3.66....
Thus, the average characteristic scores of both A and B increase when G migrates to B.
This is, of course, insulting to both groups B and G. But it does give a reason for migration.
The Will Rogers Paradox occurs when a group (G) with a certain characteristic moves from one population (A) to another (B).
Assume that characteristic has a range score (say, from 1 to 10).
Assume that members of the group (G) have a characteristic score of 5.
Members of population A, exclusive of G, each have characteristic scores of 7. The total in population A, including G, is 10, and the number in G is 5.
Members of population B, numbering 10, each have characteristic scores of 3.
The average characteristic score for population A (including G) is [(7x5 + 5x5)/10] 6.
The average characteristic score for population B (without G) is [3x10/10] 3.
When G leaves population A, the average characteristic score for A [7x5/5] 7.
When G joins population B, the average characteristic score of B is then [(10x3 + 5x5)/15] 3.66....
Thus, the average characteristic scores of both A and B increase when G migrates to B.
This is, of course, insulting to both groups B and G. But it does give a reason for migration.
