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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}

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## 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.

Full Glossary List

## This question appears in the following syllabi:

SyllabusModuleSectionTopicExam Year
AQA A-Level (UK - Pre-2017)S1Summarising dataMeasures of dispersion-
AQA AS Maths 2017StatisticsData Presentation and InterpretationMeasures of Variation-
AQA AS/A2 Maths 2017StatisticsData Presentation and InterpretationMeasures of Variation-
CBSE XI (India)Statistics and ProbabilityStatisticsRange, mean deviation, variance and standard deviation of grouped data-
CCEA A-Level (NI)S1Summarising dataMeasures of dispersion-
CIE A-Level (UK)S1Summarising dataMeasures of dispersion-
Edexcel A-Level (UK - Pre-2017)S1Summarising dataMeasures of dispersion-
Edexcel AS Maths 2017StatisticsMeasures of DataMeasures of Variation-
Edexcel AS/A2 Maths 2017StatisticsMeasures of DataMeasures of Variation-
I.B. Higher Level5Summarising dataMeasures of dispersion-
I.B. Standard Level5Summarising dataMeasures of dispersion-
Methods (UK)M14Summarising dataMeasures of dispersion-
I.B. (MSSL)6Summarising dataMeasures of dispersion-
OCR A-Level (UK - Pre-2017)S1Summarising dataMeasures of dispersion-
OCR AS Maths 2017StatisticsCentral Tendency and VariationMeasures of Variation-
OCR MEI AS Maths 2017StatisticsCentral Tendency and VariationMeasures of Variation-
Pre-U A-Level (UK)ProbSummarising dataMeasures of dispersion-
Scottish (Highers + Advanced)HSSummarising dataMeasures of dispersion-
Scottish HighersSSummarising dataMeasures of dispersion-
Universal (all site questions)SSummarising dataMeasures of dispersion-
WJEC A-Level (Wales)S1Summarising dataMeasures of dispersion-