Well, no. That's the point of having an average.
Would be good to have stats for median salary as well
Freelancing is also a good option, with daily rates ~400-700€ depending on experience, you can make a much better living than a regular employee.
The ballpark for your actual cash in hand, assuming no other costs for the company, would be whatever you charge divided by two (social security isn't actually free).
Of course, some things can be expensed, which is a huge advantage, for example a company car or motorbike, a laptop, etc). But it's not entirely free if you use them on your personal time, theoretically you have to pay income tax on some of the object's value.
So the numbers are, considering 220 working days a year (which is probably optimistic, because you have to budget some days to find and develop new leads, plus vacation, sick days, etc):
400 € / day = 88 000 / year => 44-45 000 after tax
Another thing to bear in mind is landlords and banks have a strong preference to rent / lend to people with a stable, long-term contract (CDI). As a freelancer, especially in the beginning, you'll probably encounter quite a few of them who won't want to do business with you. Plus, being a foreigner won't help.
Source: I'm doing the freelance thing.
You can also add, among the benefits, the good network of public transport (even if some lines are overloaded).