
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
A middle school student sleeps for a certain number of hours each day in a week, with the daily sleep durations being 6, 6, 7, x, 7, 8, 9 (in hours). If the average sleep duration for this dataset is 7 hours, calculate the variance of the dataset.

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