Frequency Polygon End Points

Question

When plotting a frequency polygon, the two end-points of the curve are joined to the base line at:

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Question (English)

When plotting a frequency polygon, the two end-points of the curve are joined to the base line at:

  1. The origin (0,0)
  2. Mid-values of two classes with zero frequency at each end ✓ Correct
  3. The maximum frequency point
  4. The last class boundary
Explanation:
Correct Answer Explanation

The two end-points are joined to the base line at the mid-values of the two classes with zero frequency immediately at each end of the distribution.

Key Points:
  • This ensures the curve closes at the base line on both sides.
  • It allows calculation of the total area under the curve.
  • Broken lines or dots may join these ends with the base line.
  • The total area under the curve then represents the total frequency.
Why Other Options Are Wrong
  • A. The origin: The origin may not correspond to the correct zero-frequency class.
  • C. Maximum frequency: The highest point is the peak, not the end point.
  • D. Last class boundary: End points go to imaginary classes beyond the distribution.

📚 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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