
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
Given that the teacher mistakenly included the average into the total and recalculated the average with 51 results, calculate the ratio of the incorrect average to the true average of the 50 scores.

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