The graph in the image represents the length of students' last names in letters. Each dot on the graph likely corresponds to a student, and the number on the x-axis indicates the number of letters in their last names.

The question asks for the longest name length. From the graph:

• The x-axis displays the number of letters, ranging from 3 to 10.
• The dots go up to 10 letters, showing that at least one student has a last name with 10 letters.

Thus, the longest name length is 10 letters, not 9 as suggested in the response below the question.

Would you like a detailed explanation on how to interpret dot plots, or do you have any questions? Here are 5 related questions:

1. How would you calculate the average (mean) name length from this graph?
2. What is the median name length based on this dot plot?
3. How can you find the mode of the name lengths in the data set?
4. What does the spread of the data (range) tell you about the diversity of name lengths?
5. How would this graph change if there were more students with last names of the same length?

Tip: Always check the entire range of a graph to ensure you're finding the highest or lowest values.