To create a frequency table for the given data with a starting point of 20 and a class width of 4, we first need to define our classes. The classes will range from 20 to 64 (the maximum value in the dataset), with each class having a width of 4.
Here are the classes we will create:
- 20 - 23
- 24 - 27
- 28 - 31
- 32 - 35
- 36 - 39
- 40 - 43
- 44 - 47
- 48 - 51
- 52 - 55
- 56 - 59
- 60 - 63
Now let's count the frequency of ages that fall into each of these classes based on the provided data:
Data:
38, 32, 27, 37, 33, 28, 27, 38, 35, 28, 34, 21
34, 29, 37, 36, 25, 20, 28, 41, 28, 35, 36, 40
31, 25, 31, 33, 34, 39, 20, 29, 24, 30, 31, 26
62, 23, 33, 35, 27, 22, 36, 39, 42, 38, 29, 36
Frequency Count by Class:
- 20 - 23: 5 (20, 20, 21, 22, 23)
- 24 - 27: 8 (25, 25, 24, 26, 27, 27, 27, 28)
- 28 - 31: 10 (28, 28, 28, 28, 31, 31, 31, 31, 30)
- 32 - 35: 8 (32, 33, 33, 34, 34, 34, 35, 35)
- 36 - 39: 8 (36, 36, 36, 37, 37, 38, 38, 39)
- 40 - 43: 2 (40, 41, 42)
- 44 - 47: 0
- 48 - 51: 0
- 52 - 55: 0
- 56 - 59: 0
- 60 - 63: 1 (62)
Now we can organize this information into a table:
| Class | Frequency | |---------|-----------| | 20 - 23 | 5 | | 24 - 27 | 8 | | 28 - 31 | 10 | | 32 - 35 | 8 | | 36 - 39 | 8 | | 40 - 43 | 3 | | 44 - 47 | 0 | | 48 - 51 | 0 | | 52 - 55 | 0 | | 56 - 59 | 0 | | 60 - 63 | 1 |
This frequency table summarizes the distribution of years of age at marriage for the men in the dataset.