Two frequency distributions are given to you. To compare them visually, the best diagram to be drawn on the same sheet is
Options
APie chart
BHistogram
CFrequency polygon
DBar chart
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Statistical Description of DataPYQ June 24Question 2711 of 295
All Questions Correct Answer
✅ Option c — Frequency polygon
All Options:
- APie chart
- BHistogram
- CFrequency polygon
- DBar chart
Detailed Solution & Explanation
When comparing two or more frequency distributions on the same sheet, we require a diagram that allows easy visual comparison of their shapes, peaks, and spreads without cluttering the graph.
- If we use a **Histogram**, the rectangles of the two distributions would overlap, block each other, and make the graph difficult to interpret.
- A **Pie chart** is used to show the composition of a single total and cannot easily compare two continuous frequency distributions side-by-side or overlaid.
- A **Bar chart** is meant for discrete categorical data and suffers from the same overlapping issue as histograms.
- A **Frequency polygon** is a line graph formed by connecting the class midpoints at heights proportional to the frequencies. Because it consists of thin lines rather than solid bars, we can plot multiple frequency polygons on the same coordinate axes. This allows for an easy, clear, and direct visual comparison of the distributions' shapes and properties.
Hence, **Option C** is the correct answer.
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