
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 a set of data: $x_{1}$, $x_{2}$, $x_{3}\ldots x_{10}$, Xiao Ming calculates the variance of this set of data using ${S}^{2}=\frac{1}{10}[({x}_{1}-3)^{2}+({x}_{2}-3)^{2}+\ldots +({x}_{10}-3)^{2}]$. What is the value of $x_{1}+x_{2}+x_{3}+\ldots +x_{10}$?

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