
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 light bulb factory randomly sampled $100$ light bulbs to measure their lifespans. The lifespans of these light bulbs are shown in the table below:

| Lifespan $x/h$ | $60\leqslant x \lt 100$ | $100\leqslant x \lt 140$ | $140\leqslant x \lt 180$ |
|----------------|------------------------|-------------------------|-------------------------|
| Number of bulbs | $30$                   | $30$                    | $40$                    |

Find the average lifespan of these light bulbs in hours.

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