Double Staircase Histogram

Question

When a histogram looks like a double staircase, it is because:

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Question (English)

When a histogram looks like a double staircase, it is because:

  1. The data has too many classes
  2. The common portion between two adjacent rectangles is omitted ✓ Correct
  3. The class intervals are unequal
  4. The frequency density is used
Explanation:
Correct Answer Explanation

Sometimes the common portion between two adjacent rectangles is omitted, giving a better impression of continuity. The resulting figure gives the impression of a double staircase.

Key Points:
  • This happens when the histogram is drawn by omitting overlapping edges.
  • It provides a cleaner visual appearance.
  • The adjacent rectangles share a common class boundary.
  • This convention improves readability of the histogram.
Why Other Options Are Wrong
  • A. Too many classes: Number of classes doesn't cause a staircase effect.
  • C. Unequal intervals: Unequal intervals require frequency density, not staircase.
  • D. Frequency density: This is an adjustment for unequal intervals, not appearance.

📚 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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