# If in a histogram the area of the rectangle is proportional to its frequency, can we say that the lengths of the rectangles are also proportional to the frequencies?

Histogram refers to the graphical representation of data using bars of different heights. Each bar shows data in the shape of a rectangle.

## Answer: In a histogram, the area of the rectangle is proportional to its frequency, we can say that the lengths of the rectangles are proportional to the frequencies.

In a histogram, the shape of rectangles shows how different sets of data are represented as per the class intervals and frequency.

**Explanation:**

In a histogram, the rectangles so formed to represent any data depends on the class interval and the frequency. Since the area of the rectangle is proportional to its frequency and we already know that area of a rectangle is proportional to its length, therefore, the length of the rectangle is also proportional to the frequency as any change in frequency will lead to a change in the length of the rectangle.