7. 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.
NCERT Exemplar
Answers
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.
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Because in a histogram, the area of each rectangle is proportional to the corresponding frequency of its class.