
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
At a high school track and field event, the results of $15$ male high jumpers are shown in the table below. The median of these athletes' results is ______$.

| Height (m) | $1.50$ | $1.60$ | $1.65$ | $1.70$ | $1.75$ | $1.80$ |
|------------|--------|--------|--------|--------|--------|--------|
| Number     | $2$    | $3$    | $3$    | $2$    | $4$    | $1$    |

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