
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
In a high school, there are 400 male students and 600 female students in the second year. To analyze the final physics survey test scores, a sample is obtained using stratified random sampling based on the male-to-female ratio. In the sample, the average score of male students is 80 points with a variance of 10, and the average score of female students is 60 points with a variance of 20. Based on this, the variance of the final physics survey test scores for the second year of high school can be estimated as ______.

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