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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?

1 answer

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.