Question

In a histogram, the height of the rectangles correspond to their respective frequencies provided that:

• A. the class intervals are of unequal width
• B. the class intervals are continuous
• C. the class intervals are of equal width
• D. None of the above

Answer 1

The correct option is C the class intervals are of equal width

The heights of rectangles in a histogram correspond to their respective frequencies only when the intervals are of equal width. This is because the frequency in a histogram is directly proportional to the area of the rectangles and not its height. If the class widths are equal, then the heights become proportional to the areas and, in turn, the frequencies.