Question

A researcher wanted to examine the age of men when they get married.
The following data was collected:
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

If your were going to create a frequency table, starting at 20, with a class width of 4, what would the frequency table look like?

Answer 1

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.