Question

if class limit is in decimal how to change it in class boundary​

Answer 1

Answer:

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 1

0 – 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

LCB = LCL - D/2

and

UCB = UCL + D/2

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 is

= 44 - (49 - 48)/2

= 44 - 1/2

= 44 - 0.5

= 43.5

and the corresponding UCB is

= 48 + (49 - 48)/2

= 48 + 1/2

= 48 + 0.5

= 48.5

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