Histogram Width Statement
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Question (English)
"Width of rectangles in a histogram should essentially be equal." This statement is:
- True
- False ✓ Correct
- True only for grouped data
- True only for ungrouped data
Explanation:
Correct Answer Explanation
The statement is False. Width of rectangles in a histogram need not always be equal.
Key Points:
- Histograms can have unequal class intervals.
- When class intervals are unequal, frequency density is used instead of absolute frequency.
- For example, age at death data may require very short intervals at beginning and wider intervals later.
- The key adjustment is: height = frequency ÷ width of class interval.
Why Other Options Are Wrong
- A. True: Histograms can handle unequal widths using frequency density.
- C & D: The rule applies to both grouped and ungrouped data scenarios.
📚 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.
