
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
Determine the median name length and the median number of syllables given the following data: 8 names of length 4 and 1 syllable each, 5 names of length 5 and 2 syllables each, 3 names of length 3 and 1 syllable each, 4 names of length 6 and 2 syllables each, and 3 names of length 7 and 3 syllables each.

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