
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, $30\%$ scored $70$ points, $25\%$ of the students scored $85$ points, and the remaining students scored $95$ points, determine the difference between the mean and median score of the students' scores on this quiz.

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