1. **Problem Statement:** Find the mean, median, and mode of the data set: 5, 9, 12, 4, 5, 14, 19, 16, 3, 5, 7. 2. **Mean:** The mean is the average of all numbers. Use the formula: $$\text{Mean} = \frac{\text{Sum of all data values}}{\text{Number of data values}}$$ 3. Calculate the sum: $$5 + 9 + 12 + 4 + 5 + 14 + 19 + 16 + 3 + 5 + 7 = 99$$ 4. Count the number of data values: There are 11 numbers. 5. Calculate the mean: $$\text{Mean} = \frac{99}{11} = 9$$ 6. **Median:** The median is the middle value when data is ordered. 7. Order the data: $$3, 4, 5, 5, 5, 7, 9, 12, 14, 16, 19$$ 8. Since there are 11 numbers (odd), the median is the 6th value: $$\text{Median} = 7$$ 9. **Mode:** The mode is the most frequent value. 10. Count frequencies: - 5 appears 3 times - Others appear less frequently 11. So, the mode is: $$\text{Mode} = 5$$ **Final answers:** - Mean = 9 - Median = 7 - Mode = 5