1. The problem asks for the range of the given data values: 2, 4, 4, 6, 7, 8. 2. The range is defined as the difference between the maximum and minimum values in the set. 3. Identify the minimum value: $2$. 4. Identify the maximum value: $8$. 5. Calculate the range: $$8 - 2 = 6$$. 6. Therefore, the range of the data set is 6.