
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
When Xiaoli calculates the variance of the data, she uses the formula $S^{2}=\frac{1}{5}[{(5-\overline{x})}^{2}+{(8-\overline{x})}^{2}+{(13-\overline{x})}^{2}+{(14-\overline{x})}^{2}+{(5-\overline{x})}^{2}]$. What is the value of $\overline{x}$ in the formula?

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