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In this paper, we study an amplify-and-forward OFDM-based wireless relay network and provide an exact analysis of the system achievable average throughput and probability of outage. It is assumed that the users transmits their data over a Rayleigh fading channel. Further, to increase the system throughput and use the channel more efficiently, adaptive modulation is applied on each subcarrier and the relaying strategy is selective OFDMA. Our analysis shows that how the system performance enhances by using selective OFDMA relaying scheme in terms of both average throughput and probability of outage. Simulation results verifies the accuracy of our proposed analysis.