
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
The mean of a set of data is 2, and the variance is 3. If each data point in this set is increased by 60, the mean and variance of the new data set are respectively \_\_\_\_\_\_\_ and \_\_\_\_\_\_\_\_\_.

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