
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
In a shooting training for freshmen in a university, the scores of a certain group are as follows:

| Score | 6 | 7 | 8 | 9 |
|-------|---|---|---|---|
| Number of Students | 1 | 6 | 3 | 2 |

(1) The mode of the shooting data for this group is ________;<br/>
(2) What is the average score of this group? (Show the calculation process)<br/>
(3) If scoring 8 or above (including 8) is considered excellent, estimate how many students out of 1500 freshmen can be rated as excellent shooters?

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