
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
Given a set of data arranged in ascending order as $9$, $10$, $12$, $15$, $x$, $17$, $y$, $22$, $26$, find $x+y$ if the median of the data set is $16$ and the $75\%$ percentile is $20$.

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