1. **Problem:** Find the maximum data value in the data set summarized by the frequency table. The data values given are 6, 7, 8, 9, 10, 11, 12, 13, 14, and their frequencies are 3, 8, 9, 11, 6 respectively (assuming the frequencies correspond to the data values in order). 2. **Step:** Identify the maximum data value. Since the data values are 6, 7, 8, 9, 10, 11, 12, 13, 14, the maximum data value is clearly $14$. **Final answer:** $14$