The S&P 500? The FTSE 250? The Nikkei? The Russell 2000? The Russel 3000? The risk-free rate? LIBOR?
When you make statements like this, they mean nothing at all.
Let's say you're talking about the S&P 500. Many hedge funds have been beating it for 20 years or more.
But let's say you had 2 Billion dollars. What would you do with it? Are you telling me you would put it all in one index fund? Maybe you would put it in a couple, maybe you would put it in some bonds? Well guess what, you just made an active management decision! You decided what index, or what bonds, or whatever.
There is no such thing as passive management.