Fit to the J-band LF (models 1 and 2). The red and black histograms refer to the C stars and all stars, respectively. The bin width is 0.05 mag. The dark and light-blue lines refer to the best-fit Gaussian and Lorentzian profile of the C star LF, respectively. The vertical black and red lines refer to the weighted mean and the median (M_J)₀ magnitudes of the C stars in the selection box, respectively.