Quartile

Position of $Q_1 = \frac{1}{2} \times \lceil\frac{n + 1}{2} \rceil$

Position of $Q_3 = \lfloor \frac{n + 1}{2} \rfloor + \text{Position of } Q_1$

$\text{ These are based on a specific interpretation for quartiles, where the data is discrete}$

$\text{ First, the position of median is calculated, dividing the set of data into } 2 \text{ subsets.}$

$\text{Then, the position of 'median' of each subset is calculated, where the median is included in both sets if the number of data is odd.}$

$\text{The central number in the left set(in ascending order) } = Q_1 \text{ , The central number in the right set} = Q_3$

$Note \text{ : there is more than one way to calculate quartiles depending on interpretation and syllabus.}$

Easy Math Editor

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Math	Appears as
Remember to wrap math in `$` ... `$` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$

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Math	Appears as
Remember to wrap math in `\(` ... `\)` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$

Quartile

Position of Q1=12×⌈n+12⌉Q_1 = \frac{1}{2} \times \lceil\frac{n + 1}{2} \rceil Q1​=21​×⌈2n+1​⌉

Position of Q3=⌊n+12⌋+Position of Q1Q_3 = \lfloor \frac{n + 1}{2} \rfloor + \text{Position of } Q_1Q3​=⌊2n+1​⌋+Position of Q1​

Comments

Position of $Q_1 = \frac{1}{2} \times \lceil\frac{n + 1}{2} \rceil$

Position of $Q_3 = \lfloor \frac{n + 1}{2} \rfloor + \text{Position of } Q_1$