
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
Consider a histogram of scores for $75$ students taking a test, divided into intervals of $5$ points each. The intervals and corresponding number of students are as follows:
- $55-59$: $4$ students
- $60-64$: $8$ students
- $65-69$: $15$ students
- $70-74$: $20$ students
- $75-79$: $18$ students
- $80-84$: $10$ students
Determine the median score of the $75$ students.

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