Given a set data : 2,2,3,4,5,5,5,8,8,9,11,14. find the value of Q


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Question Number 113919 by bemath last updated on 16/Sep/20

$G i v e n a s e t d a t a$ $: 2, 2, 3, 4, 5, 5, 5, 8, 8, 9, 11, 14 .$ $f i n d t h e v a l u e o f Q_{1}$
	Answered by bemath last updated on 16/Sep/20

	$i g o t Q_{1} = X_{\frac{12 + 2}{4}} = X_{3 + 0.5} = 3 + 0.5 (4 - 3)$ $= 3 + 0.5 = 3.5$
	Commented by bemath last updated on 16/Sep/20

	$b u t m y f r i e n d a n s w e r i s$ $Q_{1} = X_{\frac{12 + 1}{4}} = X_{3 + 0.25} = 3 + 0.25 (4 - 3)$ $= 3.25$
	Answered by MJS_new last updated on 16/Sep/20

	$q_{1} is the median of the lower half$ $q_{1} = \frac{3 + 4}{2} = 3.5$
	Commented by bemath last updated on 16/Sep/20

	$t h a n k y o u . i^{'} m c o r r e c t$
	Commented by ShakaLaka last updated on 16/Sep/20

	$y e s, i f w e f o l l o w t h e f o r m u l a$ $f o r e v e n$ $\frac{1}{2} [{(\frac{n}{4})}^{t h} v a l u e + {(\frac{n}{4} + 1)}^{t h} v a l u e]$ $t h e n t h e n t h e a n s w e r w i l l b e$ $3.5$
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