
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 the physical education academic level examination for junior high school graduates in Linyi City in 2023, the examination scores of 30 students in Class 8 of a certain school are as follows. If the score is 59 points or above, it is considered excellent.

| Score (points) | 60 | 59 | 58 | 57 | 56 | 55 | 54 |
|----------------|----|----|----|----|----|----|----|
| Number of Students | 10 | 5 | 7 | 5 | 2 | 0 | 1 |

$(1)$ Calculate the average score, median, and percentage of students with excellent grades in the physical education academic level examination for Class 8 of nine years.  
$(2)$ The average score of 30 students in Class 7 of nine years for this exam is 58 points, the median is 58.5 points, and the percentage of students with excellent grades is 60%. Compare and analyze the level of physical education academic level examination scores of the two classes from different perspectives based on the above statistical data.

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