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
This frequency table should have a class width of 4. Use all values

Which class would have the highest frequency?

Answer 1

To determine which class would have the highest frequency using a class width of 4, we first need to create the frequency table.

1. **Identify the range of data**:
- The minimum value is 20.
- The maximum value is 62.

2. **Determine the classes**: Starting from the minimum value (20) and using a width of 4, the classes will look like this:
- 20-23
- 24-27
- 28-31
- 32-35
- 36-39
- 40-43
- 44-47
- 48-51
- 52-55
- 56-59
- 60-63

3. **Count the frequencies in each class**:
- **20-23**: 3 (20, 21, 22, 23)
- **24-27**: 5 (24, 25, 25, 26, 27, 27)
- **28-31**: 9 (28, 28, 28, 28, 29, 29, 30, 31, 31, 31)
- **32-35**: 8 (32, 33, 33, 33, 34, 34, 34, 35, 35)
- **36-39**: 8 (36, 36, 36, 36, 37, 37, 38, 38, 39, 39)
- **40-43**: 1 (40, 41, 42)
- **44-47**: 0
- **48-51**: 0
- **52-55**: 0
- **56-59**: 0
- **60-63**: 1 (62)

4. **Summarizing the frequencies**:
- 20-23: 3
- 24-27: 5
- 28-31: 9 (highest)
- 32-35: 8
- 36-39: 8
- 40-43: 1
- 44-47: 0
- 48-51: 0
- 52-55: 0
- 56-59: 0
- 60-63: 1

Based on the counts, the class with the highest frequency is **28-31** with a frequency of **9**.