Frequency Density Formula

Question

Frequency density is calculated as:

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Question (English)

Frequency density is calculated as:

  1. Class frequency × Width of class interval
  2. Class frequency ÷ Width of class interval ✓ Correct
  3. Width of class interval ÷ Class frequency
  4. Class frequency + Width of class interval
Explanation:
Correct Answer Explanation

Frequency density = Class frequency ÷ Width of class interval.

Key Points:
  • Used when class intervals are unequal in a histogram.
  • Ensures that areas of rectangles remain proportional to frequencies.
  • When intervals are equal, absolute frequency can be used directly.
  • Frequency density gives comparable measurements across unequal classes.
Why Other Options Are Wrong
  • A. Multiplication: This would exaggerate wider classes.
  • C. Width ÷ Frequency: This is the inverse of the correct formula.
  • D. Addition: This has no statistical meaning.

📚 About this Topic — CH-4: Presentation of Data

This multiple choice question is from CH-4: Presentation of Data, NCERT Books, Statistics for Economics. It has 4 options with a detailed explanation of the correct answer. Practice more MCQs from CH-4: Presentation of Data to strengthen your preparation.

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