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

Which class would have the highest frequency?

1 answer

To determine the class with the highest frequency, we first need to create frequency classes (or intervals) for the ages. Let's take a common approach and utilize classes that span a reasonable range of ages.

Given the 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

Let's create intervals (e.g., 20-24, 25-29, etc.) and count the frequency of ages in each interval:

  • 20-24: 5 (20, 20, 21, 22, 23, 24)
  • 25-29: 10 (25, 25, 26, 27, 27, 28, 28, 28, 29, 29)
  • 30-34: 10 (30, 31, 31, 31, 33, 33, 33, 34, 34, 34)
  • 35-39: 9 (35, 35, 36, 36, 36, 37, 37, 38, 38)
  • 40-44: 4 (40, 41, 42)
  • 60-64: 1 (62)

Now let's summarize the frequency counts:

  • 20-24: 6
  • 25-29: 10
  • 30-34: 10
  • 35-39: 9
  • 40-44: 3
  • 60-64: 1

The classes with the highest frequency are 25-29 and 30-34, each with a frequency of 10.

Thus, there are two classes that have the highest frequency: 25-29 and 30-34.