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In a test, the scores of 12 students are: 10, 10, 20, 20, 20, 30, 30, 40, 50, 50

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Question: In a test, the scores of 12 students are: 10, 10, 20, 20, 20, 30, 30, 40, 50, 50, 50, 60. What is the mode?

Options:

  1. 10
  2. 20
  3. 30
  4. 50

Correct Answer: 50

Solution:

The mode is 50, as it appears most frequently (3 times) in the scores.

In a test, the scores of 12 students are: 10, 10, 20, 20, 20, 30, 30, 40, 50, 50

Practice Questions

Q1
In a test, the scores of 12 students are: 10, 10, 20, 20, 20, 30, 30, 40, 50, 50, 50, 60. What is the mode?
  1. 10
  2. 20
  3. 30
  4. 50

Questions & Step-by-Step Solutions

In a test, the scores of 12 students are: 10, 10, 20, 20, 20, 30, 30, 40, 50, 50, 50, 60. What is the mode?
  • Step 1: Write down the scores of the students: 10, 10, 20, 20, 20, 30, 30, 40, 50, 50, 50, 60.
  • Step 2: Count how many times each score appears.
  • Step 3: The score 10 appears 2 times.
  • Step 4: The score 20 appears 3 times.
  • Step 5: The score 30 appears 2 times.
  • Step 6: The score 40 appears 1 time.
  • Step 7: The score 50 appears 3 times.
  • Step 8: The score 60 appears 1 time.
  • Step 9: Compare the counts of each score to find the highest count.
  • Step 10: The highest count is 3, which corresponds to the scores 20 and 50.
  • Step 11: Since 50 is the highest score that appears most frequently, the mode is 50.
  • Mode – The mode is the value that appears most frequently in a data set.
  • Frequency Distribution – Understanding how often each score appears in the data set is crucial for identifying the mode.
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