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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.

**Solution:**

A histogram can be defined as a set of __rectangles__ with bases along with the intervals between class boundaries. Each rectangle bar depicts some sort of data and all the rectangles are adjacent. The heights of rectangles are proportional to corresponding frequencies of similar as well as for different classes.

A __histogram__ is the graphical representation of data where data is grouped into continuous number ranges and each range corresponds to a vertical bar.

1. The horizontal axis displays the number range.

2. The vertical axis (frequency) represents the amount of data that is present in each range.

We know that

In a histogram the __area__ of each rectangle is proportional to the corresponding frequency of its class.

Therefore, the statement is not correct.

**✦ Try This: **A child says that the median of 6, 16, 18, 24, 8 is 10. What doesn’t the child understand about finding the median?

**☛ Also Check:** NCERT Solutions for Class 9 Maths Chapter 14

**NCERT Exemplar Class 9 Maths Exercise 14.2 Problem 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.

**Summary:**

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

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