You must know how to calculate the standard deviation from given summary data using the formula: \displaystyle \sqrt{\frac{\sum x^2}{n} - \bar{x}^2}

## Software/Applets used on this page

## Glossary

### standard deviation

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

### 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 |
---|---|---|---|

AQA A-Level (UK - Pre-2017) | S1 | Summarising data | Measures of dispersion |

AQA AS Maths 2017 | Statistics | Data Presentation and Interpretation | Measures of Variation |

AQA AS/A2 Maths 2017 | Statistics | Data Presentation and Interpretation | Measures of Variation |

CBSE XI (India) | Statistics and Probability | Statistics | Range, mean deviation, variance and standard deviation of grouped data |

CCEA A-Level (NI) | S1 | Summarising data | Measures of dispersion |

CIE A-Level (UK) | S1 | Summarising data | Measures of dispersion |

L Statistics - Data | L3 Central Tendency and Variation | Measures of Variation | |

Edexcel A-Level (UK - Pre-2017) | S1 | Summarising data | Measures of dispersion |

Edexcel AS Maths 2017 | Statistics | Measures of Data | Measures of Variation |

Edexcel AS/A2 Maths 2017 | Statistics | Measures of Data | Measures of Variation |

I.B. Higher Level | 5 | Summarising data | Measures of dispersion |

I.B. Standard Level | 5 | Summarising data | Measures of dispersion |

Methods (UK) | M14 | Summarising data | Measures of dispersion |

I.B. (MSSL) | 6 | Summarising data | Measures of dispersion |

OCR A-Level (UK - Pre-2017) | S1 | Summarising data | Measures of dispersion |

OCR AS Maths 2017 | Statistics | Central Tendency and Variation | Measures of Variation |

OCR MEI AS Maths 2017 | Statistics | Central Tendency and Variation | Measures of Variation |

Pre-U A-Level (UK) | Prob | Summarising data | Measures of dispersion |

Scottish (Highers + Advanced) | HS | Summarising data | Measures of dispersion |

Scottish Highers | S | Summarising data | Measures of dispersion |

Universal (all site questions) | S | Summarising data | Measures of dispersion |

WJEC A-Level (Wales) | S1 | Summarising data | Measures of dispersion |