1. **State the problem:** Find the mean of the data given by the dot plot. 2. **Identify the data points and their frequencies:** - 2 appears 1 time - 3 appears 3 times - 5 appears 3 times - 6 appears 3 times - 9 appears 1 time 3. **Formula for mean:** $$\text{Mean} = \frac{\sum (\text{value} \times \text{frequency})}{\sum \text{frequency}}$$ 4. **Calculate the sum of values times frequencies:** $$2 \times 1 + 3 \times 3 + 5 \times 3 + 6 \times 3 + 9 \times 1 = 2 + 9 + 15 + 18 + 9 = 53$$ 5. **Calculate total number of data points:** $$1 + 3 + 3 + 3 + 1 = 11$$ 6. **Calculate the mean:** $$\text{Mean} = \frac{53}{11}$$ 7. **Simplify the fraction:** $$\frac{53}{11} = 4.8181... \approx 4.8$$ 8. **Answer choice closest to 4.8 is 5.0 (option c).** --- **Final answer:** The mean of the data is **5.0**.