CLASS LIMITS
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.
Video Examples: Upper & Lower Limit,Range,Class Width,Class Mark
Example 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 onClass Limits
Ques: 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 =
= 5/15 = 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.
Quick Summary
- Class limits define the range of values for each class in a frequency distribution.
- They are generally of equal width and mutually exclusive.
🍎 Teacher Insights
Emphasize the importance of choosing appropriate class widths for effective data representation. Use real-world examples to illustrate the concept.🎓 Prerequisites
- Basic arithmetic
- Understanding of data representation
Check Your Knowledge
Q1: What are class limits?
Q2: If the lowest value in a dataset is 10 and the highest is 60, what is the range?
Frequently Asked Questions
Q: What is the difference between class limits and class boundaries?
A: Class limits are the stated upper and lower values for a class, while class boundaries are the points halfway between the upper limit of one class and the lower limit of the next class. Class boundaries are used to ensure continuity in a continuous frequency distribution.
Q: How do you determine the class width?
A: Class width can be determined by dividing the range of the data by the desired number of classes. A convenient class width is often rounded up from this calculation.