
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 understand the situation of the "Sunshine Sports" activities, the school randomly surveyed $50$ students on the time they spent on sports exercises in a week. The data is shown in the table below, where the number of students is listed next to the corresponding time spent in hours:

| Number of Students | $9$ | $16$ | $14$ | $11$ |
|--------------------|----|-----|-----|-----|
| Time (hours)       | $7$ | $8$ | $9$ | $10$|

Find the mode and median of the time spent on sports exercises per week by these students.

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