Histogram can be drawn when
Options
AClass interval are equal
BClass interval are unequal
CFrequency of class interval are unequal
DNone of these
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Statistical Description of DataPYQ June 22Question 2699 of 295
All Questions Correct Answer
✅ Option d — None of these
All Options:
- AClass interval are equal
- BClass interval are unequal
- CFrequency of class interval are unequal
- DNone of these
Detailed Solution & Explanation
A histogram is a graphical representation of a grouped frequency distribution. A histogram can be constructed under multiple scenarios:
1. **Equal Class Intervals**: The height of each rectangle is directly proportional to its class frequency, since all class lengths are identical.
2. **Unequal Class Intervals**: The height of each rectangle must be adjusted to represent the frequency density (class frequency divided by class length) so that the area of the rectangle is proportional to the class frequency.
Because a histogram is versatile and can be drawn for *both* equal class intervals (Option A) and unequal class intervals (Option B), neither option on its own fully describes the general applicability of a histogram. Therefore, selecting either A or B exclusively is incomplete, making **None of these** the most appropriate and standard selection in these examination formats.
Hence, **Option D** is the correct answer.
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