Non-Continuous Classes in Histogram

Question

If classes in a frequency distribution are not continuous, what must be done before drawing a histogram?

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Question (English)

If classes in a frequency distribution are not continuous, what must be done before drawing a histogram?

  1. Leave gaps between rectangles
  2. Convert them into continuous classes ✓ Correct
  3. Use a bar diagram instead
  4. Draw only the frequency polygon
Explanation:
Correct Answer Explanation

If the classes are not continuous, they are first converted into continuous classes before drawing a histogram.

Key Points:
  • Conversion involves adjusting class limits to make them continuous (no gaps).
  • The adjustment factor = (Lower limit of a class – Upper limit of previous class) / 2.
  • This factor is subtracted from lower limits and added to upper limits.
  • After conversion, rectangles can be drawn adjacent to each other.
Why Other Options Are Wrong
  • A. Leave gaps: Histograms should never have gaps between rectangles.
  • C. Use bar diagram: If frequency distribution is needed, histogram is appropriate after conversion.
  • D. Only polygon: Histogram can be drawn after converting to continuous classes.

📚 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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