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In a survey, the ages of 15 participants are: 22, 23, 23, 24, 25, 25, 25, 26, 27

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Question: In a survey, the ages of 15 participants are: 22, 23, 23, 24, 25, 25, 25, 26, 27, 28, 29, 30, 30, 30, 31. What is the mode of the ages?

Options:

  1. 23
  2. 25
  3. 30
  4. 31

Correct Answer: 30

Solution:

The mode is 30, as it appears 3 times, more than any other age.

In a survey, the ages of 15 participants are: 22, 23, 23, 24, 25, 25, 25, 26, 27

Practice Questions

Q1
In a survey, the ages of 15 participants are: 22, 23, 23, 24, 25, 25, 25, 26, 27, 28, 29, 30, 30, 30, 31. What is the mode of the ages?
  1. 23
  2. 25
  3. 30
  4. 31

Questions & Step-by-Step Solutions

In a survey, the ages of 15 participants are: 22, 23, 23, 24, 25, 25, 25, 26, 27, 28, 29, 30, 30, 30, 31. What is the mode of the ages?
  • Step 1: Write down the ages of all participants: 22, 23, 23, 24, 25, 25, 25, 26, 27, 28, 29, 30, 30, 30, 31.
  • Step 2: Count how many times each age appears in the list.
  • Step 3: The counts are: 22 appears 1 time, 23 appears 2 times, 24 appears 1 time, 25 appears 3 times, 26 appears 1 time, 27 appears 1 time, 28 appears 1 time, 29 appears 1 time, 30 appears 3 times, 31 appears 1 time.
  • Step 4: Identify the age that appears the most times.
  • Step 5: The ages 25 and 30 both appear 3 times, but since we are looking for the mode, we choose the highest age that appears the most, which is 30.
  • Step 6: Therefore, the mode of the ages is 30.
  • Mode – The mode is the value that appears most frequently in a data set.
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