
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
Given that 20% of the students scored 60 points, 25% scored 75 points, 40% scored 85 points, and the remainder scored 95 points, find the difference between the mean and median score of the students' scores in this competition.

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