
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 that the average of seven numbers is 3, with a variance of s<sup>2</sup>, a new data point 3 is added. The average of these eight numbers is $\overset{ -}{x}$, with a variance of $\frac {7}{2}$. Determine x and s<sup>2</sup>.

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