
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 particular math contest, $5\%$ of the students scored $75$ points, $35\%$ scored $85$ points, $25\%$ scored $90$ points, $10\%$ scored $100$ points, and the remaining students scored $110$ points. Determine the difference between the mean and the median score in this contest.
A) 3
B) 3.5
C) 4
D) 4.5
E) 5

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