http://en.wikipedia.org/wiki/White_dwarf
If you want to believe wikipedia, then its about 1/2 as mass, providing of course that the average star creates the average white dwarf. However this might also be incorrect. There is probably two more questions that need to be answered first to create at least very rough estimate.
At what mass does the average super massive star create a black hole, and at what mass does the average read dwarf not have enough mass to create white dwarf.
so just guessing;
a 5 sol mass star will create the highest 1.4 sol mass white dwarf.
a 1 sol mass star will create the average 0.5 sol mass white dwarf.