In the shuffle and sort phase of Hadoop, map tasks emit key-value pairs. These pairs are shuffled, meaning data is transferred across the network so that all values for the same key arrive at the same reducer. Then, keys are sorted so reducers receive keys in order. This grouping and sorting prepare the data for the reduce tasks to process efficiently. The execution steps show map output, grouping by key during shuffle, sorting keys, and preparing reducer input. Variables like map_output, shuffled, sorted_keys, and reducer_input change state step-by-step. Key moments clarify why sorting is needed and the importance of correct grouping. The quiz tests understanding of these steps and variable states.