The ARCADE 2 instrument has measured the absolute temperature of the sky at frequencies 3, 8, 10, 30, and 90 GHz, using an open-aperture cryogenic instrument observing at balloon altitudes with no emissive windows between the beam-forming optics and the sky. An external blackbody calibrator provides an {it in situ} reference. Systematic errors were greatly reduced by using differential radiometers and cooling all critical components to physical temperatures approximating the CMB temperature. A linear model is used to compare the output of each radiometer to a set of thermometers on the instrument. Small corrections are made for the residual emission from the flight train, balloon, atmosphere, and foreground Galactic emission. The ARCADE 2 data alone show an extragalactic rise of $50pm7$ mK at 3.3 GHz in addition to a CMB temperature of $2.730pm .004$ K. Combining the ARCADE 2 data with data from the literature shows a background power law spectrum of $T=1.26pm 0.09$ [K] $( u/ u_0)^{-2.60pm 0.04}$ from 22 MHz to 10 GHz ($ u_0=1$ GHz) in addition to a CMB temperature of $2.725pm .001$ K.
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