
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
Consider a set of fifteen numbers. If each number in the set is increased by $30$, what is the effect on the arithmetic mean (average) of these fifteen numbers?
A) The mean remains the same
B) The mean is increased by 30
C) The mean is increased by 450
D) The mean is decreased by 30
E) The mean is increased by 10

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