
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 math scores of 40 students in a class for a certain test are $x_{1}$, $x_{2}$, $x_{3}$, $\ldots$, $x_{40}$, and the average math score of the whole class is $\overline{x}=90$. Also, $\sum_{i=1}^{40}{{x}_{i}^{2}}=324400$. Find the standard deviation of the math scores for this class of students.

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