# 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 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 |

(Learn more about Grouped Frequency Distributions)

## Graphs

After creating a **Frequency Distribution** table you might like to make a Bar Graph or a Pie Chart using the Data Graphs (Bar, Line and Pie) page.