Again, you make those statements based on what?
Chile is an incredibly unequal society. Matias is right in pointing this out.
The distribution of income in Chile is the most unequal in the OECD
http://www.economist.com/node/21552566
But I think its more important to note that despite being a markedly unequal society, there is still greater social mobility in Chile than any other nation in Latin America.