
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
From a general population, a sample of size $n=50$ was taken:

| variant | $x_{i}$ | 2 | 5 | 7 | 10 |
| :--- | :--- | ---: | ---: | ---: | ---: |
| frequency | $n_{i}$ | 16 | 12 | 8 | 14 |

Find the unbiased estimator of the population mean.

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