Mathematical Analysis

A frequency distribution of a data set counts the occurrences of each value in the data set. The number of occurrences of a value is called the frequency of that value. The frequency distributions thus shows how the values in the data set are distributed.

Frequency Distribution Example

Let me show you a frequency distribution example to help illustrate what it looks like. First, here is an example data set:

1,1,1,2,2,3,3,6,6,8,9,9,10

The frequency distribution of this data set looks like this:

Value	Frequency
1	3
2	2
3	2
6	2
8	1
9	2
10	1

Visualizing Frequency Distributions With Histograms

You can visualize a frequency distribution with a historgram. Here is a histogram showing the frequency distribution of the example data set: