1. **State the problem:** We are given the lengths of Avi's favorite songs as dots on a line plot at specific times: one dot at 4\frac{1}{4} minutes, one dot at 4\frac{3}{4} minutes, and two dots at 5\frac{1}{2} minutes. We need to find the total length of all these songs combined. 2. **Identify the lengths and counts:** - One song at $4\frac{1}{4} = 4.25$ minutes - One song at $4\frac{3}{4} = 4.75$ minutes - Two songs at $5\frac{1}{2} = 5.5$ minutes each 3. **Calculate the total length:** Use the formula for total length: $$\text{Total length} = \sum (\text{number of songs} \times \text{length per song})$$ 4. **Apply the formula:** $$\text{Total length} = 1 \times 4.25 + 1 \times 4.75 + 2 \times 5.5$$ 5. **Simplify:** $$= 4.25 + 4.75 + 11 = 20$$ 6. **Conclusion:** The total length of all of Avi's favorite songs is $20$ minutes.