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Question

Using histogram, a frequency polygon is plotted as shown below.
If the area of frequency polygon is 100 unit2 and class length are same for all the classes, what is the length of a class interval?

A
15 unit
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B
10 unit
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C
5 unit
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D
0.5 unit
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Solution

The correct option is C 5 unit
As shown in the figure, the height of the bar = 10 units

Area of the histogram = Area of the frequency polygon = 100 units2

Both bars are of the same equal length so we can take them as a whole rectangle.

Let x is the length of a class interval ,

Area of rectangle = 2x×10 = Area of frequency polygon = 100 unit2

20×x=100
x=5

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