
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 math competition, $15\%$ of the students scored 75 points, $30\%$ scored 85 points, $25\%$ scored 90 points, $10\%$ scored 95 points, and the rest scored 100 points. Calculate the difference between the mean and the median score of this competition.
A) -1.5
B) -1.25
C) -1
D) -0.75
E) 0

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