
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
To promote green travel, shared bicycles are one of the favorite "green travel" methods for students. In order to understand the usage of shared bicycles by students at a certain school, a random survey was conducted on the usage of shared bicycles by some students on a certain day.

| Number of Usages | $0$ | $1$ | $2$ | $3$ | $4$ | $5$ |
|------------------|----|----|----|----|----|----|
| Number of Students | $11$ | $15$ | $24$ | $27$ | $18$ | $5$ |

$(1)$ The mode of the number of times some students used shared bicycles on that day is ______;  
$(2)$ On that day, how many times did some students use shared bicycles on average per person? (Round the result to the nearest integer)

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