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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Solution

Verify the given statement
In a histogram, horizontal axis represents the class intervals whose width is fixed and varying data is plotted along the vertical axis. So in all the rectangles of histogram, width remains same and the length changes. So in histogram “the area of each rectangle is proportional to the corresponding frequency of its class".
Hence, the given statement is incorrect

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Similar questions

Q. In a histogram the area of each rectangle is proportional to

(a) the class mark of the corresponding class interval

(b) the class size of the corresponding class interval

(c) frequency of the corresponding class interval

(d) cumulative frequency of the corresponding class interval

Q. In a histogram, each class rectangle is constructed with base as

(a) frequency

(b) class-intervals

(c) range

(d) size of the class

Q. Question 5
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.

Q. In a histogram, the area of each rectangle is proportional to the class size of the corresponding class interval?
If true then enter

1

and if false then enter

0

Consider the following two statements.
Statement - 1: The area of rectangles in a histogram are proportional to the corresponding frequencies.
Statement - 2: The height of rectangles in a histogram are proportional to the corresponding frequencies.
Which of the following is/are correct?

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