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Question

In a histogram, the area of each rectangle is proportional to

A
The class mark of the corresponding class interval
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B
The class size of the corresponding class interval
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C
Frequency of the corresponding class interval
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D
Cumulative frequency of the corresponding class interval
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Solution

The correct option is C Frequency of the corresponding class interval
The frequency of a class may change for any class interval. But for a specific class, the class size will remain the same.
We know that the frequency is represented on the y-axis and class size on the x-axis.
So we can say that for all the rectangles of a histogram, width (class size) remains the same & length (frequency) changes.
Hence, the correct statement is that in a histogram, the area of each rectangle is proportional to the frequency of its class.

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