MathsNet: S - Summarising data - Quartiles

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Page ID: 3130

S | Summarising data | Measures of location | «Quartiles»

The lower quartile, median and upper quartile are usually denoted by Q_1, Q_2 and Q_3. To find them you must first arrange the data in order of size.
If n is odd, then Q_2 is the \frac{1}{2}(n+1)th value. If n is even the median is halfway between the \frac{1}{2}nth value and the next.
To find Q_1 find the median of the lower half of the data. To find Q_3, find the median of the upper half of the data.

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This question appears in the following syllabi:

Syllabus	Module	Section	Topic	Exam Year
AQA A-Level (UK - Pre-2017)	S1	Summarising data	Measures of location	-
AQA AS Maths 2017	Statistics	Data Presentation and Interpretation	Measures of Central Tendency	-
AQA AS/A2 Maths 2017	Statistics	Data Presentation and Interpretation	Measures of Central Tendency	-
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 location	-
CIE A-Level (UK)	S1	Summarising data	Measures of location	-
Edexcel A-Level (UK - Pre-2017)	S1	Summarising data	Measures of location	-
Edexcel AS Maths 2017	Statistics	Measures of Data	Measures of Central Tendency	-
Edexcel AS/A2 Maths 2017	Statistics	Measures of Data	Measures of Central Tendency	-
I.B. Standard Level	5	Summarising data	Measures of location	-
Methods (UK)	M14	Summarising data	Measures of location	-
I.B. (MSSL)	6	Summarising data	Measures of location	-
OCR A-Level (UK - Pre-2017)	S1	Summarising data	Measures of location	-
OCR AS Maths 2017	Statistics	Central Tendency and Variation	Measures of Central Tendency	-
OCR MEI AS Maths 2017	Statistics	Central Tendency and Variation	Measures of Central Tendency	-
OCR-MEI A-Level (UK - Pre-2017)	S1	Summarising data	Measures of location	-
Pre-U A-Level (UK)	Prob	Summarising data	Measures of location	-
Scottish (Highers + Advanced)	HS	Summarising data	Measures of location	-
Scottish Highers	S	Summarising data	Measures of location	-
Universal (all site questions)	S	Summarising data	Measures of location	-
WJEC A-Level (Wales)	S1	Summarising data	Measures of location	-