There really is no "typical" price for a specialized bike. They make many different models at different price points. The Allez and Allez Elite are two middle/entry level bikes and cost around 700 and 1000 dollars respectively.
The typical price for a specialized bike is 800 dollars. Specialized bikes are usually very expensive and are made of higher quality material than most bikes so they cost more.
It depends weather you want a motorbike or a regular bike. For regular bikes about 500-100$ for motorbikes its about 2500-5000$. This all depends on the company and how good of a bike you want.