This document discusses frequency and frequency distributions. It defines frequency as the number of times a value occurs in a data set. A frequency distribution organizes data by grouping values into classes and listing the count of observations in each class. There are two types of frequency distributions: discrete, which lists individual values and their frequencies, and continuous (or grouped), which divides a range of values into class intervals and shows the frequency within each interval. Examples of each type of frequency distribution are provided.

1. Frequency
distribution

2. Frequency: The
repeated times of a
value of the variable
is called frequency
of that value.
Example: The age of 5 students of a class are
24, 25, 24, 26, and 25 respectively. In this case,
the value of the variable age 24, 25, and 26 are
repeated at 2, 2, and 1 times respectively.
Hence, the frequency of the three values 24, 25
and 26 are 2, 2, and 1 respectively.

3. Frequency distribution:
Frequency distribution is a listing of a data set which divides the
data in different classes a gives a count of number of
observations in each class.
According to Croxton and Cowden-“Frequency distribution is a
statistical table which shows the set of all distinct values of the
variables arranged is order of magnitude, either individually or is
groups with their corresponding frequencies side by side”.

4. Frequency distribution
I. Discrete frequency
distribution.
II. Continuous frequency
distribution.

5. Discrete or ungrouped frequency distribution: In a discrete
frequency distribution, the data are presented in against the
discrete variable.
For example, if we consider the number of cars in 500 families of
kishoreganj town then we may have the following frequency
distribution:
Number of
cars
Number of families
1 125
2 75
3 50
0 250
Total 500

6. Continuous or grouped frequency distribution:
The continuous frequency distribution is expressed in
terms of class intervals. Each of the class intervals
consists of two limits the upper limit and the lower
limit. The lower limit is that value below which there
exists no value in the data, and the upper limit is that
above which there rests no value in the series or data.

7. Class (age in
years
22-24 24-26 26-28 28-30 30-32
Frequency
(Number of
workers)
10 20 40 35 15
For example, the continuous frequency distributions of 120
workers age of a company are given below: