
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
Nanchang is a famous historical and cultural city in China. Its name comes from the meaning of "Chang is great in the southern border, prosperity in the south." The city has a deep cultural heritage with attractions such as Tengwang Pavilion, August 1st Uprising Memorial Hall, Haihunhou Site, Shengjin Pagoda, and Ba Da Shan Ren Memorial Hall. A group of students divided into teams visited the above five places for study, with the number of people in each group being $12$, $5$, $11$, $5$, $7$ (unit: people). The median of this data set is ______.

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