
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 stem-and-leaf plot below shows the duration of rides (in minutes and seconds) on each of the 20 top-rated roller coasters in two categories: Category A (shorter rides) and Category B (longer rides). Interpret these times in seconds and calculate the median ride duration for each category.

Category A:
\begin{tabular}{c|cccc}
0&25&30&45&50\\
1&05&10&15&40\\
2&05&15&20&30\\
\end{tabular}

Category B:
\begin{tabular}{c|ccc}
1&55&58&60\\
2&02&15&30\\
3&20&25&48\\
4&10&15&\\
\end{tabular}

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