# 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 often
• 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 SoldFrequency
182
190
204
210
222
231
240
251

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

Papers SoldFrequency
15-192
20-247
25-291