
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
During a certain measurement, the data obtained for Sample A are as follows: 43, 44, 47, 53, 43, 51. If the data for Sample B is precisely the data for Sample A with each number reduced by 3, then for Samples A and B, which of the following numerical characteristics correspond and remain the same? List all the correct characteristics' numbers.

(1) Mean    (2) Standard deviation    (3) Mode    (4) Median.

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