1. The problem involves interpreting a dot plot that shows the number of students reporting the number of letters in their last names. 2. The horizontal axis is labeled "Number of Letters" with values 3, 4, 5, 6, 7, 8, 9, 10. 3. The dots above each number represent the count of students with last names of that length. 4. From the description, dots appear above 3, 4, 5, 6, 9, and two dots above 10, with no dots above 7 and 8. 5. This means: - Number of students with 3 letters: 1 - Number of students with 4 letters: 1 - Number of students with 5 letters: 1 - Number of students with 6 letters: 1 - Number of students with 7 letters: 0 - Number of students with 8 letters: 0 - Number of students with 9 letters: 1 - Number of students with 10 letters: 2 6. This data can be summarized as a frequency distribution of last name lengths. 7. No algebraic formula is needed here; the key is understanding how to read dot plots and interpret frequency data. 8. The dot plot visually represents the distribution of last name lengths among students, showing which lengths are more or less common. Final answer: The dot plot shows the frequency of last name lengths as described above, with the highest frequency at 10 letters (2 students) and zero students for 7 and 8 letters.