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:

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

**According to nature of distribution, frequency distribution may be,**

- Individual frequency distribution.
- Ungrouped frequency distribution.
- Grouped frequency distribution.
- Cumulative frequency distribution.
- Relative frequency distribution.
- Relative cumulative frequency distribution.
- 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.**

**Ungrouped frequency distribution**

**Grouped frequency distribution**

**Cumulative frequency distribution** **Less than cumulative frequency distribut**i**on:**

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 cumu**l**ative frequency distribution**

#### What is Relative frequency in statistics

A relative frequency represents the share or portion of total frequency.

mathematically,**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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