
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 the histogram of the scores for $100$ students taking a test: 

- $85-89$: $20$ students
- $80-84$: $18$ students
- $75-79$: $15$ students
- $70-74$: $12$ students
- $65-69$: $10$ students
- $60-64$: $8$ students
- $55-59$: $10$ students
- $50-54$: $7$ students

Determine the median score of this distribution.

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