
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 the initial scores of four participating teams were all 10 points, and each team gained 0.5 points for each correct answer, where the number of correct answers for the four teams were 3, 7, 7, and 3, respectively, determine the variance of the scores of the four teams.

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