
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 school where data on the number of sick days taken by students in a certain class is recorded. A frequency table shows the following data:
- 0 days: 4 students
- 1 day: 2 students
- 2 days: 5 students
- 3 days: 2 students
- 4 days: 1 student
- 5 days: 1 student

For the above data representing 15 students, calculate how much greater the mean number of sick days taken per student is, compared to the median number of sick days taken. Express your answer as a common fraction.

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