Question

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?

Answer 1

In this problem, we are given If in a histogram the area of the rectangle is proportional to its frequency, we have to find whether the lengths of the rectangles are also proportional to the frequencies. A histogram is a graph where a set of rectangles are represented as per the class intervals and the frequencies. We can now see about it.

Complete step by step solution:
Here we are given If in a histogram the area of the rectangle is proportional to its frequency, we have to find whether the lengths of the rectangles are also proportional to the frequencies.
We know that A histogram is a graph where a set of rectangles are represented as per the class intervals and frequencies as we already knew that area of a rectangle is proportional to its length, therefore, the length of the rectangle is also proportional to frequency as any change in frequency will lead to a change in the length of the rectangles.
So, in histogram if the area of the rectangle is proportional to its frequency, we can say that the lengths of the rectangles are also proportional to the frequencies, where if frequency increases, the area as well as the length increases.

Note: We should remember that a histogram is a graph where a set of rectangles are represented as per the class intervals and the frequencies. So, in histogram if the area of the rectangle is proportional to its frequency, we can say that the lengths of the rectangles are also proportional to the frequencies.