
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 the data set $[10, 24, 35, 35, 35, 42, 42, 45, 58, 62]$, the median $Q_2 = 38.5$, the first quartile $Q_1 = 35$, and the third quartile $Q_3 = 45$. Determine the number of outliers in the set, where an outlier is defined as a data point that is more than $1.5$ times the interquartile range below $Q_1$ or above $Q_3$, or a data point that is two or more standard deviations away from the mean.

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