The document discusses frequency distribution, a method of classifying data based on the number of occurrences of specific values. It outlines three types of frequency distributions: individual observations, discrete frequency distribution, and continuous frequency distribution, along with examples of each. Additionally, it explains class limits, class intervals, and provides practical problems to illustrate the concepts.

1. Frequency Distribution of
Data
Mrs.P.RAMALAKSHMI, M.Sc.,
M.Phil.,
Assistant Professor of Food
Processing and Quality Control
V.V.Vanniaperumal College for
Women
Virudhunagar.

2. Frequency Distribution
 Frequency distribution is a classification
according to the number possessing
the same values of the variables.
 It is simply a table in which the data are
grouped into classes and the number of
cases which fall in each case is
recorded.
 It has 3 types
◦ Series of Individual Observations
◦ Discrete Frequency Distribution
◦ Continuous Frequency Distribution

3. Individual Observations
Roll No Marks
1 40
2 33
3 27
4 38
5 41

4. Discrete Frequency
Distribution
Number of
Children
Number of
Families
0 12
1 84
2 110
3 65
4 29
Total 300

5. Continuous Frequency
Distribution
Marks No of
Students
10-20 15
20-30 20
30-40 10
Total 45
Marks No of
Students
10-19 17
20-29 15
30-39 12
Total 44
Overlapping Method
Non-Overlapping Method
Inclusive Method Exclusive Method

6. Class-limits
The class- limits are the smallest and
highest values in the class.
For example, take the class 10-20
The lowest value is 10 (lower limit)
The highest value is 20 (upper limit)
Class limit is also known as class
boundaries.

7. Class-intervals
 The difference between the lower limit
and upper limit of the class is known
as the class-interval.
 For example, take the class 10-20
◦ Class interval (i)=L-S
◦ i= 20-10=10
 Class Mid Point= Upper limit+Lower limit/2
20+10 =30 = 15
2 2

8. Practical Problem-1

9. Practical Problem-1
10-14 6
14-18 11
18-22 11
22-26 7
26-30 5
30-34 5
34-38 3

10. Practical Problem-1

11. Practical Problem-2

12. Practical Problem-2

13. Practical Problem-3

14. Practical Problem-3

15. Practical Problem-4

16. Practical Problem-4