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Bearbeite mir aufgabe b Personen sind insgesamt 21 und die häufigkeit ist insgesamt 23 

Let's work through **Aufgabe b** based on the data provided:

### Given Information:
- The total number of households (sum of Häufigkeit) is **23**.
- The total number of people in households is **21**.

The task asks to expand the table to include a column indicating the percentage of households **with up to** a certain number of people (cumulative percentage).

Here is the table from the image:

| Personen | Häufigkeit (H(x)) |
|----------|-------------------|
| 1        | 1                 |
| 2        | 5                 |
| 3        | 4                 |
| 4        | 8                 |
| 5        | 3                 |
| 6        | 2                 |

### Steps:
1. **Cumulative frequency**: For each row, calculate the cumulative frequency by adding the current frequency to the sum of all previous frequencies.
2. **Cumulative percentage**: Divide the cumulative frequency by the total households (23) and multiply by 100 to get the percentage.

### Updated Table with Cumulative Frequency and Percentage:

| Personen | Häufigkeit (H(x)) | Cumulative Frequency | Cumulative Percentage (%) |
|----------|-------------------|----------------------|---------------------------|
| 1        | 1                 | 1                    | \( \frac{1}{23} \times 100 = 4.35 \) %  |
| 2        | 5                 | 6                    | \( \frac{6}{23} \times 100 = 26.09 \) % |
| 3        | 4                 | 10                   | \( \frac{10}{23} \times 100 = 43.48 \) %|
| 4        | 8                 | 18                   | \( \frac{18}{23} \times 100 = 78.26 \) %|
| 5        | 3                 | 21                   | \( \frac{21}{23} \times 100 = 91.30 \) %|
| 6        | 2                 | 23                   | \( \frac{23}{23} \times 100 = 100 \) %  |

### Final Answer:
You need to add a column showing the cumulative percentages as listed above. The cumulative percentage represents the proportion of households that have up to 1, 2, 3, etc., people.

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Would you like more details on how I calculated this, or do you have any other questions?

Here are 5 related questions to consider:
1. How can you represent cumulative percentage as a cumulative distribution graph?
2. Why is cumulative frequency important in statistics?
3. What does the cumulative percentage tell us about household sizes in this class?
4. Can you calculate the median number of people per household from this data?
5. How does the total number of people (21) relate to the frequencies in this table?

**Tip:** The cumulative percentage always ends at 100% since it includes all the data points.

Bearbeite mir aufgabe b Personen sind insgesamt 21 und die häufigkeit ist insgesamt 23

Expand the given frequency distribution table with a new column indicating the cumulative frequency and percentage. The task involves working with a total of 21 people and a frequency sum of 23, calculating how much of the population has up to a certain number of people in their households.

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