
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
The number of contestants each day was initially recorded as Monday: 24, Tuesday: 30, Wednesday: 19, Thursday: 25, Friday: 19. Later, the organizers found that Wednesday's record was 20, and Tuesday's number was 31. Calculate the changes in the mean and the median with this correction.

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