Click on the horizontal axis to select points for a frequency distribution. The frequency distribution is given in the first table, and the corresponding histogram is shown in the graph box. The class width (and hence the number of classes) can be varied with the scroll bar. The vertical axis can be selected as either frequency or relative frequency from the list box.
Different sets of summary statistics can be selected from a list box:

* Mean and standard deviation

* Boxplot

* Mean, median and mode

* Median and mean absolute deviation

* Mean and standard deviation

* Boxplot

* Mean, median and mode

* Median and mean absolute deviation

## Software/Applets used on this page

an applet from PSOL from UAH

## Glossary

### axis

One of two straight lines on a graph from which measurements are taken. One axis (the y axis) is vertical; the other (the x axis) is horizontal.

### frequency

Of a function: the rate of repetition of a periodic function.

In statistics: the number of occurances of a value

In statistics: the number of occurances of a value

### graph

A diagram showing a relationship between two variables.

The diagram shows a vertical y axis and a horizontal x axis.

The diagram shows a vertical y axis and a horizontal x axis.

### histogram

A statistical diagram for continuous data similar to a bar chart but where the area of each bar is proportional to the frequency.

### mean

the sum of all the members of the list divided by the number of items in the list.

### median

the middle value of a set of data that has been arranged in order of magnitude; half the data values are above it and half are below.

### mode

the value in a set of discrete data that occurs most frequently

### standard deviation

The square root of the variance; a measure of dispersion.

## This question appears in the following syllabi:

Syllabus | Module | Section | Topic | Exam Year |
---|---|---|---|---|

AQA A-Level (UK - Pre-2017) | S1 | Summarising data | Representation | - |

AQA AS Maths 2017 | Statistics | Data Presentation and Interpretation | Further Charts | - |

AQA AS/A2 Maths 2017 | Statistics | Data Presentation and Interpretation | Further Charts | - |

CCEA A-Level (NI) | S1 | Summarising data | Representation | - |

CIE A-Level (UK) | S1 | Summarising data | Representation | - |

Edexcel A-Level (UK - Pre-2017) | S1 | Summarising data | Representation | - |

Edexcel AS Maths 2017 | Statistics | Data Presentation and Interpretation | Further Charts | - |

Edexcel AS/A2 Maths 2017 | Statistics | Data Presentation and Interpretation | Further Charts | - |

I.B. Higher Level | 5 | Summarising data | Representation | - |

I.B. Standard Level | 5 | Summarising data | Representation | - |

Methods (UK) | M14 | Summarising data | Representation | - |

I.B. (MSSL) | 6 | Summarising data | Representation | - |

OCR A-Level (UK - Pre-2017) | S1 | Summarising data | Representation | - |

OCR AS Maths 2017 | Statistics | Working with Data | Further Charts | - |

OCR MEI AS Maths 2017 | Statistics | Working with Data | Further Charts | - |

OCR-MEI A-Level (UK - Pre-2017) | S1 | Summarising data | Representation | - |

Pre-U A-Level (UK) | Prob | Summarising data | Representation | - |

Scottish (Highers + Advanced) | HS | Summarising data | Representation | - |

Scottish Highers | S | Summarising data | Representation | - |

Universal (all site questions) | S | Summarising data | Representation | - |

WJEC A-Level (Wales) | S1 | Summarising data | Representation | - |