We use the Cosmic Assembly Near-Infrared Deep Extragalactic Legacy Survey ( CANDELS ) GOODS-S multi-wavelength catalog to identify counterparts for 20 Ly \alpha Emitting ( LAE ) galaxies at z = 2.1 . We build several types of stacked Spectral Energy Distributions ( SEDs ) of these objects . We combine photometry to form average and median flux-stacked SEDs , and postage stamp images to form average and median image-stacked SEDs . We also introduce scaled flux stacks that eliminate the influence of variation in overall brightness . We use the SED fitting code SpeedyMC to constrain the physical properties of individual objects and stacks . Our LAEs at z = 2.1 have stellar masses ranging from 2 \times 10 ^ { 7 } M _ { \odot } - 8 \times 10 ^ { 9 } M _ { \odot } ( median = 3 \times 10 ^ { 8 } M _ { \odot } ) , ages ranging from 4 Myr to 500 Myr ( median =100 Myr ) , and E ( B-V ) between 0.02 and 0.24 ( median = 0.12 ) . We do not observe strong correlations between Ly \alpha equivalent width ( EW ) and stellar mass , age , or E ( B-V ) . The Ly \alpha radiative transfer ( q ) factors of our sample are predominantly close to one and do not correlate strongly with EW or E ( B-V ) , implying that Ly \alpha radiative transfer prevents Ly \alpha photons from resonantly scattering in dusty regions . The SED parameters of the flux stacks match the average and median values of the individual objects , with the flux-scaled median SED performing best with reduced uncertainties . Median image-stacked SEDs provide a poor representation of the median individual object , and none of the stacking methods captures the large dispersion of LAE properties .