Probability and Statistics >Descriptive Statistics

### What is a Frequency Distribution Table?

Frequency tells you **how often something occurs**. The frequency of an observation in statistics tells you the number of times the observation occurs in the data. For example, in the following list of numbers, the frequency of the number 9 is 5 (because it occurs 5 times):

1, 2, 3, 4, 6, 9, 9, 8, 5, 1, 1, 9, 9, 0, 6, 9.

Tables can show either categorical variables (sometimes called qualitative variables) or quantitative variables (sometimes called numeric variables). You can think of categorical variables as being categories (like eye color or brand of dog food) and quantitative variables as being numbers.

Qualitative or quantitative? How to tell.

The following table shows what family planning methods were used by teens in Kweneng, West Botswana. The left column shows the **categorical variable** (Method) and the right column is the **frequency** — the number of teens using that particular method (image courtesy of KSU).

Frequency distribution tables give you a **snapshot **of the data to allow you to find patterns. A quick look at the above frequency distribution table tells you the majority of teens don’t use any birth control at all.

### How to make a Frequency Distribution Table

**Tally marks** are often used to make a frequency distribution table. For example, let’s say you survey a number of households and find out how many pets they own. The results are 3,0,1,4,4,1,2,0,2,2,,0,2,0,1,3,1,2,1,1,3.

To make the frequency distribution table, first **write the categories **in one column (number of pets):

Next, **tally the numbers** in each category (from the results above):

Finally, count up the tally marks and **write the frequency** in the final column:

Another example of making a table:

How to draw a frequency distribution table.

nice one