
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
To understand the electricity consumption of residents in a certain area, a random sample of 200 households in that area was selected for investigation of their electricity consumption in June (unit: kW•h). The sample data was organized into the following frequency distribution table.

| Group | Electricity Consumption Range | Frequency |
|-------|-------------------------------|-----------|
| 1     | 8≤x＜93                      | 50        |
| 2     | 93≤x＜178                    | 100       |
| 3     | 178≤x＜263                   | 34        |
| 4     | 263≤x＜348                   | 11        |
| 5     | 348≤x＜433                   | 1         |
| 6     | 433≤x＜518                   | 1         |
| 7     | 518≤x＜603                   | 2         |
| 8     | 603≤x＜688                   | 1         |

Based on the results of the sampling survey, answer the following questions:
1. The median of the electricity consumption of these 200 households in June falls within group ______.
2. Estimate the number of households in June with electricity consumption below 178 kW•h among approximately 10,000 households in this area.

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