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

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

Options:

  1. 10
  2. 20
  3. 30
  4. No mode

Correct Answer: 20

Solution: 

The modal class is 20-30 since it has the highest frequency (15).

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

Practice Questions

Q1
In a frequency distribution, if the class intervals are 0-10, 10-20, and 20-30 with frequencies 5, 10, and 15 respectively, what is the mode?
  1. 10
  2. 20
  3. 30
  4. No mode

Questions & Step-by-Step Solutions

In a frequency distribution, if the class intervals are 0-10, 10-20, and 20-30 with frequencies 5, 10, and 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, 10, and 15.
  • Step 3: Determine which frequency is the highest. The highest frequency is 15.
  • Step 4: Identify the class interval that corresponds to the highest frequency. The class interval for the highest frequency (15) is 20-30.
  • Step 5: Conclude that the modal class is 20-30 since it has the highest frequency.
  • 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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