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  • Is it correct to say that in a histogram, the area of each rectangle is proportional to the class size of the corresponding class interval? If not, correct the statement.

Is it correct to say that in a histogram, the area of each rectangle is proportional to the class size of the corresponding class interval? If not, correct the statement.

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Answer: No

In a histogram, the area of each rectangle is proportional to the frequency of its class.

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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infoexpert23

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