    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
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B
g = h and d = e
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C
e = f and g = h
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D
a = b and c = d
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Solution

## The correct options are C e = f and g = h D a = b and c = dArea 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.  Suggest Corrections  0      Related Videos   Equality of Area
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