
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 popularity of the "People's Republic of China Road Traffic Safety Law" among students, the survey department conducted a questionnaire survey on 6 students from a school. The scores of the 6 students were as follows: 5, 6, 7, 8, 9, 10. Consider the scores of these six students as a population.
(1) Find the mean of the population.
(2) Using simple random sampling, select 2 students from these 6, and their scores form a sample. Calculate the probability that the absolute difference between the sample mean and the population mean is no more than 0.5.

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