
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
A batch of reagents has a standard dosage of $220$ milliliters per bottle. Now, $8$ bottles of samples are taken for testing, and the results are as follows (unit: milliliters): $230$, $226$, $218$, $223$, $214$, $225$, $205$, $212$.

| Original Dosage | $230$ | $226$ | $218$ | $223$ | $214$ | $225$ | $205$ | $212$ |
|-----------------|-------|-------|-------|-------|-------|-------|-------|-------|
| Deviation from Standard | ______ | ______ | ______ | ______ | ______ | ______ | ______ | ______ |

$(1)$ Fill in the table with positive and negative numbers according to the standard dosage.  
$(2)$ What is the total dosage of these $8$ bottles of sample reagents?  
$(3)$ If the cost of manually adjusting the dosage of each bottle of reagent is $10$ yuan per milliliter, how much will it cost to process these $8$ bottles of sample reagents to the standard dosage?

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