
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
A certain school held a knowledge competition with the theme of "Cherish Life, Stay Away from Water Hazards." The table below shows the scores of 6 students from the Shansi group who participated in this competition (based on a standard of 100 points, exceeding 100 points is denoted as "+", and falling below 100 points is denoted as "-"). Please solve the following questions based on the information in the table.

| Number | 1   | 2    | 3    | 4   | 5   | 6    |
|--------|-----|------|------|-----|-----|------|
| Score  | +10 | -30  | -17  | +10 | -5  | +50  |

$(1)$ Find the highest score of these 6 students in this competition.  
$(2)$ By how many points does the highest score exceed the lowest score?  
$(3)$ Find the total score of these 6 students in this competition.

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