
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
A survey was conducted on a group of students to determine the length of their first names measured in letters. The following distribution was obtained: 9 names of 3 letters, 5 names of 4 letters, 1 name of 5 letters, 2 names of 6 letters, and 4 names of 7 letters. Totaling 21 names, what is the median length of these names?
- **A)** 3
- **B)** 4
- **C)** 5
- **D)** 6
- **E)** 7

Present the answer in LaTex format: \boxed{Your answer}
user