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In a frequency distribution, if the class intervals are 0-10, 10-20, 20-30, and

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Question: In a frequency distribution, if the class intervals are 0-10, 10-20, 20-30, and the frequencies are 5, 10, 15 respectively, what is the mode?

Options:

  1. 10
  2. 20
  3. 30
  4. None of the above

Correct Answer: 20

Solution: 

The modal class is 20-30 since it has the highest frequency.

In a frequency distribution, if the class intervals are 0-10, 10-20, 20-30, and

Practice Questions

Q1
In a frequency distribution, if the class intervals are 0-10, 10-20, 20-30, and the frequencies are 5, 10, 15 respectively, what is the mode?
  1. 10
  2. 20
  3. 30
  4. None of the above

Questions & Step-by-Step Solutions

In a frequency distribution, if the class intervals are 0-10, 10-20, 20-30, and the frequencies are 5, 10, 15 respectively, what is the mode?
  • Step 1: Identify the class intervals and their corresponding frequencies. The intervals are 0-10, 10-20, and 20-30 with frequencies 5, 10, and 15 respectively.
  • Step 2: Compare the frequencies to find the highest one. The frequencies are 5 (for 0-10), 10 (for 10-20), and 15 (for 20-30).
  • Step 3: Determine which frequency is the highest. The highest frequency is 15, which corresponds to the class interval 20-30.
  • Step 4: Conclude that the modal class is the class interval with the highest frequency, which is 20-30.
  • Frequency Distribution – A representation of the number of occurrences of each value or range of values in a dataset.
  • Mode – The value or class interval that appears most frequently in a dataset.
  • Class Intervals – Ranges of values that group data points for analysis in a frequency distribution.
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