
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 a person collected a sample of data with a sample size of 50 and found that the mean is 70 and the variance is 75. It was later discovered that two data points were recorded incorrectly: one recorded 80 as 60 and the other recorded 70 as 90. After correcting these errors, calculate the new mean of the sample and the new variance. Determine the relationship between the new mean and the new variance.

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