A data processing method for performing data processing on wireless received data and an associated data processing apparatus are provided, where the data processing method is applied to an electronic device. The data processing method includes the steps of: wirelessly receiving a plurality of packets corresponding to a same set of speech data from another electronic device; and selectively performing error correction operation on at least one of the plurality of packets to obtain the set of speech data, wherein whether to perform the error correction operation is determined according to at least one characteristic of the plurality of packets. More particularly, the error correction operation is selectively performed for at least one scenario of a timing critical scenario and a re-transmission limited scenario.