The quartile deviation for the following data | vedclass

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(C) First,calculate the cumulative frequency $(cf)$:$x: 2, 3, 4, 5, 6$$f: 3, 4, 8, 4, 1$$cf: 3, 7, 15, 19, 20$Total frequency $N = \sum f = 20$.$Q_1$

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$\frac{1}{2}$

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(C) First,calculate the cumulative frequency $(cf)$:$x: 2, 3, 4, 5, 6$$f: 3, 4, 8, 4, 1$$cf: 3, 7, 15, 19, 20$Total frequency $N = \sum f = 20$.$Q_1$ is the value corresponding to the $\left(\frac{N}{4}\right)^{th} = 5^{th}$ observation.Looking at the $cf$,the $5^{th}$ observation is $3$.So,$Q_1 = 3$.$Q_3$ is the value corresponding to the $\left(\frac{3N}{4}\right)^{th} = 15^{th}$ observation.Looking at the $cf$,the $15^{th}$ observation is $4$.So,$Q_3 = 4$.Quartile Deviation $(Q.D.)$ $= \frac{Q_3 - Q_1}{2} = \frac{4 - 3}{2} = \frac{1}{2} = 0.5$.

$x$	$2$	$3$	$4$	$5$	$6$
$f$	$3$	$4$	$8$	$4$	$1$

The quartile deviation for the following data is

$x$ $2$ $3$ $4$ $5$ $6$

$f$ $3$ $4$ $8$ $4$ $1$

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The quartile deviation for the following data is $x$ $2$ $3$ $4$ $5$ $6$ $f$ $3$ $4$ $8$ $4$ $1$