It’s most likely telling you that you have a good display that can get very black!
Black luminance is something to watch out for in LCD displays. These work in a different way than did the CRTs. Since the backlight is on all the time, it’s really up to the quality of the liquid crystal “switches” to “blacken” the display so no light gets through. More on this here:
A lot depends on your white luminance level. (The brighter the backlight, the lighter your black level will tend to be.) It depends somewhat on what sensor you are using. (I have found the Spyder 3 tends to read blacks higher than does the i1Display 2 for example.)
But you are asking for a range. The Eizos we have around the lab range between around .08 to .16 for black luminance - when run at a brightness of ~110 cd/m2. A typical, cheap LCD will only be able to get down to .30 or so at the same brightness.
So unless you are running your white luminance at 80 or something, it sounds like you are in great shape!