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?

• A. a = b and b = g
• B. g = h and d = e
• C. e = f and g = h
• D. a = b and c = d

Answer 1

Answer: (C), (D)

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.