Question

although, there exists no class preceding the lowest class and no class succeeding the highest class, addition of the two class intervals with zero frequency enables us to make the area of the frequency polygon the same as the area of the histogram. why is this so?

Answer 1

Adding the class intervals with zero frequency allows the area of the frequency polygon to be the same as the area of the histogram.

Step-by-step explanation:

The reason that adding the two class intervals with zero frequency enables us to make the area of the frequency polygon the same as the area of the histogram is because the frequency polygon is a line graph that connects the midpoints of the histogram bars.

When we add a class interval with zero frequency, it means there are no data values in that interval, so the frequency would be zero. By including the zero frequency interval in the frequency polygon, we maintain the correct representation of the data.

This helps to accurately depict the distribution of the data in both the histogram and the frequency polygon.

Adding the class intervals with zero frequency allows the area of the frequency polygon to be the same as the area of the histogram.