Frequency density is used in the construction of
Options
AHistogram
BOgive
CFrequency polygon
DNone when the classes are of unequal width.
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Statistical Description of DataPYQ May 18Question 2679 of 295
All Questions Correct Answer
✅ Option a — Histogram
All Options:
- AHistogram
- BOgive
- CFrequency polygon
- DNone when the classes are of unequal width.
Detailed Solution & Explanation
Frequency density is defined as the ratio of the frequency of a class interval to its width:
In graphical representation, a **Histogram** is used to represent continuous frequency distributions where the area of each bar (rectangle) must be proportional to its class frequency.
When the class intervals (widths) are uniform, the height of each bar can simply be proportional to the frequency. However, when the class intervals are of **unequal widths**, plotting the raw frequency on the vertical axis would lead to a distorted representation. To correct for this, we calculate the frequency density for each class and plot it on the vertical axis. Thus, the height of each rectangle represents the frequency density, ensuring that the area of the bar remains proportional to the frequency:
Therefore, frequency density is fundamentally used in the construction of a Histogram.
Hence, **Option A** is the correct answer.
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