
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
Let the weights (in grams) of the 10 bags of white sugar be denoted as $x_1, x_2, x_3, x_4, x_5, x_6, x_7, x_8, x_9, x_{10}$ where $x_1=495$, $x_2=500$, $x_3=503$, $x_4=508$, $x_5=498$, $x_6=500$, $x_7=493$, $x_8=500$, $x_9=503$, $x_{10}=500$. Calculate the number of bags of sugar with weights between $\overline{x}-s$ and $\overline{x}+s$.

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