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In a class of 30 students, the marks obtained are as follows: 45, 50, 50, 55, 60

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Question: In a class of 30 students, the marks obtained are as follows: 45, 50, 50, 55, 60, 60, 60, 70, 75. What is the mode of the marks? (2019)

Options:

  1. 50
  2. 60
  3. 70
  4. 75

Correct Answer: 60

Exam Year: 2019

Solution: 

The number 60 appears most frequently (3 times), so the mode is 60.

In a class of 30 students, the marks obtained are as follows: 45, 50, 50, 55, 60

Practice Questions

Q1
In a class of 30 students, the marks obtained are as follows: 45, 50, 50, 55, 60, 60, 60, 70, 75. What is the mode of the marks? (2019)
  1. 50
  2. 60
  3. 70
  4. 75

Questions & Step-by-Step Solutions

In a class of 30 students, the marks obtained are as follows: 45, 50, 50, 55, 60, 60, 60, 70, 75. What is the mode of the marks? (2019)
  • Step 1: Write down all the marks obtained by the students: 45, 50, 50, 55, 60, 60, 60, 70, 75.
  • Step 2: Count how many times each mark appears.
  • Step 3: The counts are: 45 (1 time), 50 (2 times), 55 (1 time), 60 (3 times), 70 (1 time), 75 (1 time).
  • Step 4: Identify the mark that appears the most frequently.
  • Step 5: The mark 60 appears 3 times, which is more than any other mark.
  • Step 6: Therefore, the mode of the marks is 60.
  • Mode – The mode is the value that appears most frequently in a data set.
  • Frequency Distribution – Understanding how often each value occurs in a set of data.
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