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The Global Insight

What is frequency distribution explain with an example?

Author

Christopher Ramos

Updated on February 08, 2026

Frequency distribution, in statistics, a graph or data set organized to show the frequency of occurrence of each possible outcome of a repeatable event observed many times. Simple examples are election returns and test scores listed by percentile. A frequency distribution can be graphed as a histogram or pie chart.

Why would you create a frequency distribution?

The idea behind a frequency distribution is to break the data into groups (called classes or bins) so that we can better see patterns. It is sort of like the difference between asking you your age and asking you if you are between 20 and 25.

What does it mean to construct a frequency distribution?

A frequency distribution refers to summarizing a large data set into a small number of intervals. Let’s take an example to understand how to construct a frequency distribution. Let’s say we have the following 20 observations with us.

What is a normal frequency distribution?

A normal frequency distribution is a theoretical continuous, symmetrical, bell-shaped distribution function. Its mean, mode and median are all the same; and both the tails of the bell curve are infinitely long. Simple normal distributions are frequently used for modelling uncertainty.

What are the characteristics of frequency distribution?

For our present purposes, we will use frequency polygons to demonstrate three properties of frequency distributions: central location, variation or dispersion, and skewness.

What are the rules for constructing frequency distribution?

Statistics: Grouped Frequency Distributions

  • There should be between 5 and 20 classes.
  • The class width should be an odd number.
  • The classes must be mutually exclusive.
  • The classes must be all inclusive or exhaustive.
  • The classes must be continuous.
  • The classes must be equal in width.

    How is a frequency table and frequency distribution created?

    To construct a frequency table, we divide the observations into classes or categories. The number of observations in each category is called the frequency of that category. A Frequency Table or Frequency Distribution is a table showing the categories next to their frequencies.

    How to visualize the cumulative frequency distribution table?

    A cumulative frequency distribution graph is another powerful tool to visualize the cumulative frequency distribution. The graph can be created as an addition to the cumulative frequency distribution table.

    How to make a bar graph of frequency distribution?

    Here they are grouped in 5s: After creating a Frequency Distribution table you might like to make a Bar Graph or a Pie Chart using the Data Graphs (Bar, Line and Pie) page.

    How to calculate the frequency of a goal?

    Frequency is how often something occurs. The frequency was 2 on Saturday, 1 on Thursday and 3 for the whole week. By counting frequencies we can make a Frequency Distribution table. Sam’s team has scored the following numbers of goals in recent games