**Definition of Class Limits**

- The lower and upper limits of a class interval are known as Class Limits.

**More about Class Limits**

- All the class limits are generally of equal width and are mutually exclusive.

**Examples of Class Limits**

- The rainfall per day at a place (in mm) is recorded for 50 days are divided into different class interval as shown above.
- The 1st class limit is 1 - 4, 2nd class limit is 5 - 8, 3rd class limit is 9 - 12, 4th class limit is 13 - 16, 5th class limit is 17 - 20, and 6th class limit is 21 - 24.

**Solved Example on Class Limits**

The daily sales of books in a book stall for 20 consecutive days are:

Find the class limit in which the sales are maximum by constructing a frequency distribution table with 5 classes.

Choices:

A. 32 - 42

B. 53 - 63

C. 9 - 19

D. 20 - 30

Correct Answer: C

Solution:

Step 1:Range of the data = higher value - lower value = 60 - 9 = 51

Step 2:Width = = = 10.2 ˜ 11

Step 3:Construct the class limits (daily sales of books) with width 11, so that the least and highest values have been included.

Step 4:The class limits, boundaries, tally marks and the frequency for each class (number of tally marks) are shown in the table.

Step 5:

Step 6:Since the frequency is more for the class interval 9 - 19, the sales are maximum in this limit.

**Related Terms for Class Limits**

- Class interval
- Frequency Distribution
- Lower Limit
- Upper Limit