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Measures of Frequency

Measures of Frequency is the first and most basic kind of descriptive statistics that can be done on any dataset. Such statistics are usually performed during Univariate or Bivariate Analysis for describing categorical variables. Under measures of frequency, the analysis is done through counting the categories of a variable (i.e. by counting the number of times each category in the variable got repeated) and by calculating percentages from such counts.

The best way to understand all of this is by using an example and applying the concepts found under the Measures of Frequency.

For example, have a dataset with two variables: Country and State.

Frequency table

We can first count the frequency of the categories in a variable and create a frequency table. We first start off with the variable State (this is a univariate analysis as only one variable is involved).

Frequency table of the State variable, listing each state with its count
Frequency table for the variable State.

On the basis of the frequency table, we can create various charts that can help us in describing our data.

Bar graph

We can use bar graphs showing the frequency of each of the categories in the variable ‘State’.

Bar graph showing the frequency of each State, sorted in ascending order
Bar graph of State frequencies.

Pie chart

We can also use pie charts to describe the frequencies of various categories in this variable.

Pie chart showing the share of each State in the dataset
Pie chart of State frequencies.

Cross frequency table

We can also analyze the frequency by creating a cross frequency table and analyze the frequencies of two variables (such an analysis is called Bivariate analysis, as two variables are involved in such an analysis).

Cross frequency table of Country against State, with State Count and Total Count per country
Cross frequency table of Country and State.

Stacked bar graph

Stacked bar graphs can also be created to visualize the relationship between two categorical variables.

Stacked bar graph by country, broken down by region
Stacked bar graph by Country.

Percentage chart

We can also use percentages to see the share of each category in a variable.

Donut chart showing the percentage share of each Country
Percentage share of each Country.

Thus we can see how the frequency of each category helps us in understanding the data. However, it is the most basic kind of descriptive statistics, and for further information, we require to use other kinds of statistics.

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