Question

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?

• A. Statement 1 is true and statement 2 is false.
• B. Statement 1 is false and statement 2 is true.
• C. Both the statement 1 and 2 are true
• D. Both the statement 1 and 2 are false.

Answer 1

The correct option is C Both the statement 1 and 2 are true

The graphical representation of a grouped frequency distribution with continuous classes is called a histogram.
Unlike a bar graph, the width of the bar plays a significant role in its construction.
Areas of the rectangles are proportional to the corresponding frequencies.
When the widths of the rectangles are all equal, it can be noticed that lengths of the rectangles are proportional to the frequencies.

So, both statements 1 and 2 are true.