CLASS LIMIT AND CLASS BOUNDARY IN STATISTICS

About "Class limit and class boundary in statistics"

Class limit and class boundary in statistics :

To understand class limit and class boundary in statistics, let us consider the frequency distribution of weights of 36 students given below.

Class limit

Corresponding to a class interval, the class limits may be defined as the minimum value and the maximum value the class interval may contain.

The minimum value is known as the lower class limit (LCL) and the maximum value is known as the upper class limit (UCL).

For the frequency distribution of weights of 36 students, the LCL and UCL of the first class interval are 44 kgs. and 48 kgs. respectively.

Class boundary

Class boundaries may be defined as the actual class limit of a class interval.

For overlapping classification or mutually exclusive classification that excludes the upper class limits like 10–
20, 20–30, 30–40, ……… etc. the class boundaries coincide with the class limits.

This is usually done for a continuous variable. However, for non-overlapping or mutually inclusive classification that includes both the class limits like 0–9, 10–19, 20–29,…… which is usually applicable for a discrete variable, we have

where D is the difference between the LCL of the next class interval and the UCL of the given class interval.

For the data presented in the above table, LCB of the first class interval

and the corresponding UCB

Apart from the stuff class limit and class boundary, let us look at the mid point of a class interval.

Mid point or Mid value or Class mark

Corresponding to a class interval, this may be defined as the total of the two class limits or class boundaries to be divided by 2.

In other words, in a class interval, mid point or mid value may be defined as arithmetic mean or average of the two class limits and two class boundaries. 

Thus, we have

Referring to the distribution of weight of 36 students, the mid-points for the first two class intervals are

That is, 46 kgs. and 51 kgs. respectively.

After having gone through the stuff given above, we hope that the students would have understood "Class limit & class boundary in statistics". 

Apart from the stuff given above, if you want to know more about "Class limit and class boundary in statistics", please click here

Apart from the stuff given on this web page, if you need any other stuff in math, please use our google custom search here.

Widget is loading comments...