Frequency Density in Histogram

Question

When class intervals are unequal in a histogram, which value is used instead of absolute frequency?

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Question (English)

When class intervals are unequal in a histogram, which value is used instead of absolute frequency?

  1. Cumulative frequency
  2. Frequency density โœ“ Correct
  3. Relative frequency
  4. Modal frequency
Explanation:
Correct Answer Explanation

When class intervals are unequal, frequency density (class frequency divided by width of the class interval) is used instead of absolute frequency.

Key Points:
  • Frequency density = Class frequency รท Width of class interval.
  • When intervals are equal, area can conveniently be represented by frequency itself.
  • When bases vary, heights must be adjusted to yield comparable measurements.
  • This ensures that areas of rectangles remain proportional to frequencies.
Why Other Options Are Wrong
  • A. Cumulative frequency: This is used in ogives, not histograms with unequal intervals.
  • C. Relative frequency: While related, the specific term used is frequency density.
  • D. Modal frequency: This refers to the highest frequency, not an adjustment method.

๐Ÿ“š About this Topic โ€” 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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