Area Under Frequency Polygon

The total area under a frequency polygon represents:

Correct Answer Explanation

The total area under the frequency polygon, like the area in the histogram, represents the total frequency or sample size.

Key Points:

• This is achieved by joining the two end-points to the base line at mid-values of classes with zero frequency.
• The area under the curve equals the sum of all frequencies.
• This property ensures consistency between histogram and frequency polygon.
• Broken lines or dots may join the two ends with the base line.

Why Other Options Are Wrong

• A. Mean: Mean is a single value, not an area.
• C. Mode: Mode is found from the highest point, not the total area.
• D. Median: Median is found from ogives, not frequency polygon area.