
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
Find the median and mode of the shoe sizes worn by the students in the class given the following distribution: 2 students wore size 20, 8 students wore size 21, 9 students wore size 22, 19 students wore size 23, and 2 students wore size 24.

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