1. **State the problem:** Find the median of the numbers 3.8, 7.5, 9.4, 5.3, 3.8, 8.9. 2. **Recall the formula and rules:** The median is the middle value of a data set when the numbers are arranged in ascending order. If there is an even number of values, the median is the average of the two middle numbers. 3. **Arrange the numbers in ascending order:** $$3.8, 3.8, 5.3, 7.5, 8.9, 9.4$$ 4. **Identify the middle numbers:** Since there are 6 numbers (even), the middle two are the 3rd and 4th numbers: 5.3 and 7.5. 5. **Calculate the median:** $$\text{Median} = \frac{5.3 + 7.5}{2} = \frac{12.8}{2} = 6.4$$ **Final answer:** The median of the given numbers is $6.4$.