
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
Determine the interval containing the median score given a histogram of student scores with the following frequency distribution: 
- Scores from 45 to 49: 8 students
- Scores from 50 to 54: 15 students
- Scores from 55 to 59: 20 students
- Scores from 60 to 64: 18 students
- Scores from 65 to 69: 17 students
- Scores from 70 to 74: 12 students
- Scores from 75 to 79: 9 students
- Scores from 80 to 84: 6 students

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