Midpoint of Class Boundaries

The midpoint of class boundaries is a measure of central tendency used in statistics. It is calculated by taking the average of the upper and lower class boundaries of a particular class interval. This measure is used to represent the center of a data set.

Statement

Excepting the first and the last, all other class boundaries lie midway between the upper limit of a class and the lower limit of the next higher class.

Answer

The statement is true.

Explanation

The class boundaries are defined as the upper and lower limits of each class interval in a frequency distribution. The midpoint of class boundaries is calculated by taking the average of the upper and lower class boundaries of a particular class interval.

According to the statement, excepting the first and the last, all other class boundaries lie midway between the upper limit of a class and the lower limit of the next higher class. This means that the midpoint of the class boundaries for each class interval, except the first and the last, is located at the midpoint between the upper limit of the class and the lower limit of the next higher class.

This is true because the class boundaries are chosen in such a way that they do not overlap with the adjacent class intervals. Therefore, the midpoint of the class boundaries for each class interval, except the first and the last, is located at the midpoint between the upper limit of the class and the lower limit of the next higher class.

In conclusion, the statement is true as the midpoint of class boundaries for each class interval, except the first and the last, is located midway between the upper limit of a class and the lower limit of the next higher class.

Class boundaries can be obtained using formula;
= upper limit + lower limit of next higher class / 2
which results in the between value of both limits used.
And normally first and last boundary will be taken accordingly.