1. **State the problem:** Determine whether the statement "A data set can have the same mean, median, and mode" is true or false. 2. **Recall definitions:** - The **mean** is the average of all data points. - The **median** is the middle value when data is ordered. - The **mode** is the most frequently occurring value. 3. **Analyze the statement:** It is possible for a data set to have the same mean, median, and mode. For example, the data set $\{2, 2, 2\}$ has mean $2$, median $2$, and mode $2$. 4. **Conclusion:** The statement is true. **Final answer:** A. The statement is true.