Math, asked by ayushichoubey4317, 10 months ago

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.

Answers

Answered by TanikaWaddle
20

It is not correct.

Because in a histogram, the area of each rectangle is proportional to the corresponding frequency of its class.

Step-by-step explanation:

No, this is not a correct statement.

In a histogram, horizontal axis represents the class intervals whose width is fixed & the varying data is plotted along the y-axis. So in all  the rectangles of a histogram, width remains same & the length changes.

So correct statement is

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

Note: I. In a histogram, the areas of the rectangles are proportional to the corresponding frequencies. If the widths of all the rectangles are equal, then the lengths of the rectangles are proportional to the frequencies.

II. In case the rectangles have different widths then we need to make modifications in the lengths of the rectangles such that their areas are proportional to the frequencies.

#Learn more:

How to draw histogram of continuous class intervals of equal width

https://brainly.in/question/1321285

Answered by santy2
7

Answer:

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

Step-by-step explanation:

No, it is not correct to say that in a histogram, the area of each rectangle is proportional to the class size of the corresponding class interval.

No, this is not a correct statement.

In a histogram, horizontal axis represents the class intervals whose width is fixed & the varying data is plotted along the y-axis. So in all the rectangles of a histogram, width remains same & the length changes.

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

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