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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.

Which class would have the highest frequency?

1 answer

To create a frequency table with a class width of 4 and to determine which class has the highest frequency, we first need to define the classes based on the data provided.

The smallest value in the data set is 20 and the largest value is 62. With a class width of 4, we can create the following classes:

  1. 20 - 23
  2. 24 - 27
  3. 28 - 31
  4. 32 - 35
  5. 36 - 39
  6. 40 - 43
  7. 44 - 47
  8. 48 - 51
  9. 52 - 55
  10. 56 - 59
  11. 60 - 63

Now we can count how many values fall into each class based on the data provided.

  • 20 - 23: 5 (20, 20, 21, 22, 23)
  • 24 - 27: 6 (24, 25, 25, 26, 27, 27)
  • 28 - 31: 8 (28, 28, 28, 28, 29, 29, 30, 31)
  • 32 - 35: 8 (32, 33, 33, 34, 34, 34, 35, 35)
  • 36 - 39: 8 (36, 36, 36, 36, 37, 37, 38, 39)
  • 40 - 43: 1 (40, 41, 42)
  • 44 - 47: 0
  • 48 - 51: 0
  • 52 - 55: 0
  • 56 - 59: 0
  • 60 - 63: 1 (62)

Now we summarize the frequencies:

  • 20 - 23: 5
  • 24 - 27: 6
  • 28 - 31: 8
  • 32 - 35: 8
  • 36 - 39: 8
  • 40 - 43: 1
  • 44 - 47: 0
  • 48 - 51: 0
  • 52 - 55: 0
  • 56 - 59: 0
  • 60 - 63: 1

From the frequency counts, we see that the classes 28 - 31, 32 - 35, and 36 - 39 all have the highest frequency of 8. Therefore, these are the classes with the highest frequency.