## Summary/Background

You must be clear about how to find the

Remember that the

scatter diagrams, pie charts, bar charts, line graphs, stem & leaf diagrams and box & whisker plots

**median**,**upper quartile (UQ)**and**lower quartile (LQ)**from a cumulative frequency graph. To find the median you should start from the point halfway up to the total frequency on the vertical axis, draw a line across to the curve and then down to the horizontal axis. To find the LQ and UQ you start from a quarter and from three-quarters the way up on the vertical axis.Remember that the

**Interquartile range**= Upper quartile - Lower quartile. You should know how to draw a number of other statistical diagrams too, including:scatter diagrams, pie charts, bar charts, line graphs, stem & leaf diagrams and box & whisker plots

## Software/Applets used on this page

## 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.

### interquartile range

A measure of dispersion; the difference between the upper and lower quartiles; Q

_{3}-Q_{1}.### 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.

### quartile

In an ordered set of data 25% are below the first (Q

_{1}), 50% are below the second (Q_{2}), 75% are below the third (Q_{3}).### range

In Statistics: the difference between the largest and smallest values in a data set; a simple measure of spread or variation

In Pure Maths: the values that y can take given an equation y=f(x) and a domain for x.

In Pure Maths: the values that y can take given an equation y=f(x) and a domain for x.

### union

The union of two sets A and B is the set containing all the elements of A and B.

## This question appears in the following syllabi:

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

AQA AS Maths 2017 | Statistics | Data Presentation and Interpretation | Cumulative Frequency | - |

AQA AS/A2 Maths 2017 | Statistics | Data Presentation and Interpretation | Cumulative Frequency | - |

AQA GCSE (9-1) Higher (UK) | S: Statistics | S3: Grouped Data, Histograms and Cumulative Frequency | Cumulative Frequency | - |

CBSE X (India) | Statistics and Probability | Statistics | Cumulative frequency graph | - |

CIE IGCSE (9-1) Maths (0626 UK) | 9 Statistics | E9.7 Cumulative Frequency and Box-Plots | Cumulative Frequency | - |

Edexcel AS Maths 2017 | Statistics | Data Presentation and Interpretation | Cumulative Frequency | - |

Edexcel AS/A2 Maths 2017 | Statistics | Data Presentation and Interpretation | Cumulative Frequency | - |

Edexcel GCSE (9-1) Higher (UK) | S: Statistics | S3: Grouped Data, Histograms and Cumulative Frequency | Cumulative Frequency | - |

GCSE Higher (UK) | Statistics | Displaying data | Cumulative frequency | - |

OCR AS Maths 2017 | Statistics | Working with Data | Cumulative Frequency | - |

OCR GCSE (9-1) Higher (UK) | 12: Statistics | 12.02b: Grouped Data | Cumulative Frequency | - |

OCR MEI AS Maths 2017 | Statistics | Working with Data | Cumulative Frequency | - |

Universal (all site questions) | D | Displaying data | Cumulative frequency | - |