
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
Given 300 boys sampled from the north have an average height of 1.60 m, and 200 boys sampled from the south have an average height of 1.50 m, calculate the average height of 13-year-old boys in the country.

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