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Question

Using histogram, a frequency polygon is plotted. Variables a, b , c ,d , e , f , g and h represented the certain area in the plotted graph. Which of the following options is/are true?

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Solution

The correct options are

**C** e = f and g = h

**D** a = b and c = d

Area of histogram and frequency polygon drawn for the same date are equal.

A frequency polygon is drawn by connecting mid points of the tops of rectangles. The line connecting two midpoints creates two equal-area triangles, one outside the frequency polygon and other inside the frequency polygon.

That's how the area of the histogram is equal to the area of frequency polygon.

Hence, a = b, c = d, e = f, g = f.

Area of histogram and frequency polygon drawn for the same date are equal.

A frequency polygon is drawn by connecting mid points of the tops of rectangles. The line connecting two midpoints creates two equal-area triangles, one outside the frequency polygon and other inside the frequency polygon.

That's how the area of the histogram is equal to the area of frequency polygon.

Hence, a = b, c = d, e = f, g = f.

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