The equilibrium distribution of the Xe atoms among the alpha cages of the zeolite NaA have been measured directly by nuclear magnetic resonance (NMR) in ten samples ranging from very low xenon loading up to saturation. These distributions are simulated by a grand canonical Monte Carlo (GCMC) method which reproduces the experimental data quantitatively for all ten samples at 296 K and also at 360 K. The adsorption isotherm of the high loading samples has been determined directly from the chemical shift of the gas in equilibrium with the adsorbed xenon. The data compare favorably with the adsorption isotherms resulting from the simulations. The previously reported Xe-129 chemical shifts of the individual Xe(n) clusters and their temperature dependences in the range 188-420 K are reproduced quantitatively by the GCMC simulation which makes use of pairwise additive ab initio intermolecular shielding functions. These cluster shifts and their temperature dependence encode the distribution of configurations for a given Xe(n) cluster in an alpha cage. Quantitative agreement with the three experimental measures of the distribution of Xe atoms in NaA (partitioning between the adsorbed phase and the gas phase, distribution of the intrazeolitic atoms among the alpha cages, and the distribution of Xe atoms within an alpha cage containing Xe(n)) as a function of temperature has been achieved for the first time.