A memory module includes data memories and at least one parity memory. Each of the data memories includes a first memory cell array with a first memory region to store data set corresponding to a plurality of burst lengths and a second memory region to store first parity bits to perform error detection/correction associated with the data set. The at least one parity memory includes a second memory cell array with a first parity region to store parity bits associated with user data set corresponding to all of the data set stored in each of the data memories and a second parity region to store second parity bits for error detection/correction associated with the parity bits.