The following data represents the age of 30 lottery winners.
21	29	30	32	33	35
43	43	44	44	44	45
46	49	51	52	53	66
67	71	72	74	74	74
77	77	78	78	80	88
Complete the frequency distribution for the data.
Age	Frequency
20-29
30-39
40-49
50-59
60-69
70-79
80-89

To complete the frequency distribution for the given data set of 30 lottery winners' ages, we need to count how many ages fall into each of the specified intervals:

1. **20-29**: Includes ages from 20 to 29.
2. **30-39**: Includes ages from 30 to 39.
3. **40-49**: Includes ages from 40 to 49.
4. **50-59**: Includes ages from 50 to 59.
5. **60-69**: Includes ages from 60 to 69.
6. **70-79**: Includes ages from 70 to 79.
7. **80-89**: Includes ages from 80 to 89.

Now, let's count the frequencies for each interval:

1. **20-29**: 21, 29 → Frequency: 2
2. **30-39**: 30, 32, 33, 35 → Frequency: 4
3. **40-49**: 43, 43, 44, 44, 44, 45, 46, 49 → Frequency: 8
4. **50-59**: 51, 52, 53 → Frequency: 3
5. **60-69**: 66, 67 → Frequency: 2
6. **70-79**: 71, 72, 74, 74, 74, 77, 77, 78, 78 → Frequency: 9
7. **80-89**: 80, 88 → Frequency: 2

### Completed Frequency Distribution:

| Age     | Frequency |
|---------|-----------|
| 20-29   | 2         |
| 30-39   | 4         |
| 40-49   | 8         |
| 50-59   | 3         |
| 60-69   | 2         |
| 70-79   | 9         |
| 80-89   | 2         |

Would you like further details or have any questions?

Here are 5 relative questions to explore further:
1. How would you calculate the relative frequency for each age group?
2. What is the median age group in this distribution?
3. How does the shape of this distribution appear (e.g., skewed, symmetric)?
4. How would the frequency distribution change if the age group intervals were different?
5. How can you calculate the mean age from this data set?

**Tip:** Frequency distributions are useful in understanding how data is spread across different intervals and can help in visualizing the data pattern.

Explore and complete the frequency distribution for the ages of 30 lottery winners. Learn how to categorize data into age intervals and count frequencies effectively. Detailed analysis with specific data points provided.

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