We present a revised distance to the nearby galaxy NGC 6822 using a new multi-band fit to both previously published and new optical , near- and mid-infrared data for Cepheid variables . The new data presented in this study include multi-epoch observations obtained in 3.6 \mu m and 4.5 \mu m with the Spitzer Space Telescope taken for the Carnegie Hubble Program . We also present new observations in J , H and K _ { s } with FourStar on the Magellan Baade telescope at Las Campanas Observatory . We determine mean magnitudes and present new period-luminosity relations in V , I , J , H , K _ { s } , IRAC 3.6 \mu m and 4.5 \mu m . In addition to using the multi-band distance moduli to calculate extinction and a true distance , we present a new method for determining an extinction-corrected distance modulus from multi-band data with varying sample sizes . We combine the distance moduli and extinction for individual stars to determine E ( B - V ) = 0.35 \pm 0.04 and a true distance modulus \mu _ { o } = 23.38 \pm 0.02 _ { stat } \pm 0.04 _ { sys } .