# Frequency Distribution

## Frequency

Frequency is how often something occurs.

### Example: Sam played football on

• Saturday Morning,
• Saturday Afternoon
• Thursday Afternoon

The frequency was 2 on Saturday, 1 on Thursday and 3 for the whole week.

## Frequency Distribution

By counting frequencies we can make a Frequency Distribution table.

### Example: Goals

 Sam's team has scored the following numbers of goals in recent games:

2, 3, 1, 2, 1, 3, 2, 3, 4, 5, 4, 2, 2, 3

 Sam put the numbers in order, then added up: how often 1 occurs (2 times), how often 2 occurs (5 times), etc, and wrote them down as a Frequency Distribution table:

From the table we can see interesting things such as

• getting 2 goals happens most frequently
• only once did they get 5 goals

This is the definition:

Frequency Distribution: values and their frequency (how often each value occurs).

Here is another example:

### Example: Newspapers

These are the numbers of newspapers sold at a local shop over the last 10 days:

22, 20, 18, 23, 20, 25, 22, 20, 18, 20

Let us count how many of each number there is:

Papers Sold Frequency
18 2
19 0
20 4
21 0
22 2
23 1
24 0
25 1

It is also possible to group the values. Here they are grouped in 5s:

Papers Sold Frequency
15-19 2
20-24 7
25-29 1