types of frequency distribution

types of frequency distribution in statistics with example:

In this tutorial we learn what are the types of frequency distribution in statistics with example after to understand these question we need to know:

What is frequency distribution ?

The arrangement of variable values and their corresponding frequencies is called frequency distribution. It is a statistical table which shows the set of all distinct values of the variable arranged either individually or in groups. After collecting data, the first task for a researcher is to organize and simplify the data so that it is possible to get a general overview of the results. One method for simplifying and organizing data is to construct a frequency distribution in fact, a variable has frequency distribution.

Types of Frequency Distribution in statistics

Frequency distribution of the variables can be categorized into many types. On the basis of number of variable involved, the frequency distribution can be categorized as:

  1. Uni-variate Frequency Distribution: ( frequency distribution involving only one variable).
  2. Bi-variate Frequency distribution: (frequency distribution involving two variables).
  3. Multi-variate Frequency Distribution: (frequency distribution involving three or more variables)

According to nature of distribution, frequency distribution may be,

  1. Individual frequency distribution.
  2. Ungrouped frequency distribution.
  3. Grouped frequency distribution.
  4. Cumulative frequency distribution.
  5. Relative frequency distribution.
  6. Relative cumulative frequency distribution.
  7. Percentage frequency distribution.

Types of Uni-variate frequency distribution:

  • Individual frequency distribution.
  • Ungrouped frequency distribution (Discrete frequency distribution).
  • Grouped frequency distribution (Continuous frequency distribution).
Example: Uni-variate frequency distribution:

Individual frequency distribution.

Individual frequency distribution.

Ungrouped frequency distribution

Grouped frequency distribution

Cumulative frequency distribution Less than cumulative frequency distribution:

Cumulative frequency distribution

A frequency distribution in which the frequencies of different classes are cumulated on the basis of upper limits on less than pattern is called less than cumulative frequency distribution.

Normal frequency distribution More than cumulative frequency distribution

Normal frequency distribution and                       More than cumulative frequency distribution

What is Relative frequency in statistics

A relative frequency represents the share or portion of total frequency.
Relative frequency=frequency of a class/total frequency

It represents the portion of cumulative frequency of total frequency.
Relative cumulative frequency=relative frequency/total frequency

Important terms used in the construction of a Grouped Frequency Distribution:

i. Class.
ii. Class limits.
iii. Tally Bars.
iv. Class frequency/cell frequency.
v. Class mark/mid value.
vi. Class size/class width.
vii. Open-ended class and close ended class.
viii. Inclusive and exclusive class intervals.
ix. Appropriate number of classes.

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