1. **State the problem:** We need to find the mode of the number of miles Elaine ran over the past seven days. 2. **Recall the definition of mode:** The mode is the value that appears most frequently in a data set. 3. **List the data:** The miles run each day are 4, 7, 5, 3, 4, 6, and 8. 4. **Count the frequency of each value:** - 3 appears 1 time - 4 appears 2 times - 5 appears 1 time - 6 appears 1 time - 7 appears 1 time - 8 appears 1 time 5. **Identify the mode:** The number 4 appears most frequently (2 times). 6. **Final answer:** The mode for the number of miles Elaine ran is **4** miles.