
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
In a mathematics competition, $12\%$ of the contestants scored $60$ points, $20\%$ scored $85$ points, $38\%$ scored $95$ points, and the rest scored $105$ points. Calculate the difference between the mean and median score of the contestants' scores.
A) 2.1
B) 2.8
C) 3.2
D) 3.6
E) 4.1

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