We compare red clump stars with parallaxes known to better than 10% in
the Hipparcos catalog and corrected for interstellar extinction with
the OGLE red clump stars in Baade's Window, also corrected for interst
ellar extinction. There are similar to 600 and similar to 10,000 such
stars in the two data sets, respectively. We find empirically that the
average I-band magnitude of red clump stars does not depend on their
intrinsic color in the range 0.8 < (V-I)(0) < 1.4. The red clump lumin
osity function is well represented by a Gaussian with the peak at M-I0
,M-m = -0.28 and the dispersion sigma(RC) approximate to 0.2 mag. This
allows a single-step determination of the distance to the Galactic ce
nter and gives R-0 = 8.4 +/- 0.4 kpc. The number of red clump stars is
so large that the formal statistical error is only similar to 1%. The
local stars are relatively blue and have a small color dispersion: <(
V -I)> = 1.01 and sigma(V-1) = 0.08, while for the bulge stars <(V-I)(
0)> = 1.22 and sigma((V-1)0) = 0.14. Presumably, the bulge population
has a broader range and a higher average metallicity than the local di
sk population.