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

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

Options:

Correct Answer: 30

Solution:

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

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

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

Step 1: Write down the ages of all participants: 22, 22, 23, 24, 24, 24, 25, 26, 27, 27, 28, 29, 30, 30, 30.
Step 2: Count how many times each age appears.
Step 3: For age 22, it appears 2 times.
Step 4: For age 23, it appears 1 time.
Step 5: For age 24, it appears 3 times.
Step 6: For age 25, it appears 1 time.
Step 7: For age 26, it appears 1 time.
Step 8: For age 27, it appears 2 times.
Step 9: For age 28, it appears 1 time.
Step 10: For age 29, it appears 1 time.
Step 11: For age 30, it appears 3 times.
Step 12: Compare the counts of all ages to find the highest count.
Step 13: The highest count is 3, which corresponds to ages 24 and 30.
Step 14: Since 30 appears 3 times and is the highest age, the mode is 30.

Mode – The mode is the value that appears most frequently in a data set.
Frequency Distribution – Understanding how often each value occurs in a data set is crucial for identifying the mode.