
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
Given that the results of 13 male high jumpers are shown in the table below:

| Height / meters | $1.50$ | $1.60$ | $1.65$ | $1.70$ | $1.75$ |
|-------------------|--------|--------|--------|--------|--------|
| Number of Jumpers | $1$    | $2$    | $3$    | $5$    | $2$    |

find the mode and median of these jumpers' results.

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