Frequency Polygon Construction

Question

A frequency polygon is drawn by joining the:

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Question (English)

A frequency polygon is drawn by joining the:

  1. Lower corners of histogram rectangles
  2. Midpoints of the topside of consecutive histogram rectangles ✓ Correct
  3. Upper right corners of histogram rectangles
  4. Base points of histogram rectangles
Explanation:
Correct Answer Explanation

A frequency polygon is drawn by joining the midpoints of the topside of consecutive rectangles of the histogram.

Key Points:
  • Frequency polygon is an alternative to histogram and is derived from it.
  • The two end-points are joined to the base line at mid-values of two classes with zero frequency at each end.
  • The total area under the curve equals total frequency or sample size.
  • Frequencies are always plotted against mid-points of class intervals.
  • It is the most common method of presenting grouped frequency distribution.
Why Other Options Are Wrong
  • A. Lower corners: This would trace the base, not the frequency.
  • C. Upper right corners: Only midpoints of top sides are joined.
  • D. Base points: Base points are all at zero level.

📚 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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