
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
During the survey of the heights of 1500 first-year high school students, a sample was drawn and grouped into a frequency distribution histogram. The height of the small rectangle for the group \[160cm, 165cm\] is 0.01, and the height of the small rectangle for the group \[165cm, 170cm\] is 0.05. Try to estimate the number of first-year high school students whose height is within the range of \[160cm, 170cm\].

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