# Plots

### Chapters

### Frequency Distributions

# Frequency Distributions

## Frequency

The frequency of an event is how often it occurs.

### Example

Alice the cow is up to her dare-devil circus tricks again. This time she's learning to jump of a really high platform, with the hope of landing in an inflatable kiddy-pool. As you can imagine, she doesn't manage to land in the pool every often.

She lands in the pool

- Twice on Monday
- Once on Tuesday
- Three times on Wednesday and
- Five times on Thursday

## Frequency Distribution Table

We can count how many times each score occurs in a list of data and collect them together in a `frequency distribution table`

.

### Example

Here is a list of how many times Alice has landed in the wading pool over the past fortnight:

Number of Landings | Frequency |
---|---|

1 | 2 |

2 | 3 |

4 | 2 |

5 | 2 |

6 | 2 |

7 | 4 |

We can use this table to determine all sorts of interesting things about our data. For example,

- The most common number of landings made by Alice was 7
- She achieved most numbers of landings twice.

A frequency distribution table lists all the possible values that occur in a data set and how many times they occur (their frequencies).

### Example

Sam's maths teacher gives his class a weekly pre-test to see how well they understand the background material required for the next topic. Here are Sam's marks on the tests for the first 12 weeks of the year:

Test Mark | Frequency |
---|---|

12 | 1 |

13 | 0 |

14 | 1 |

15 | 0 |

16 | 2 |

17 | 4 |

18 | 2 |

19 | 0 |

20 | 2 |

We can also **group** Sam's marks into different ranges. In the table below, each range is a group of 3 marks. The frequency is the sum of the frequencies
for the marks in each range.

Mark Range | Frequency |
---|---|

12-14 | 2 |

15-17 | 6 |

18-20 | 4 |

You can read more about grouping values in frequency distribution tables in the article on grouped frequency distributions.

## Graphing Data

Creating a frequency distribution table is a good first step in displaying your data graphically. Once your data is tabulated, you can choose to display it using a number of different methods including pie charts, bar charts and line graphs. You can read more about these methods in the article on displaying your data.

### Description

In these chapters you will learn more about

- Histograms
- Scatter plots
- Stem and leaf plots etc

these lessons are for students studying maths in Year 10 or highter

### Audience

Year 10 students or higher, however, suitable for Year 8+ students too.

### Learning Objectives

Learn about plotting

Author: Subject Coach

Added on: 28th Sep 2018

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