Find the quartile deviation for the following distributionWhineMarks obtained - 20 - 29 - 28 - 33 - 42 - 38 - 43 - 2511 WhineNumber of students - 6 - 28 - 24 - 15 - 2 - 4 - 1 - 20Whinelend array

The correct option is A 2[ Marks obtained amp; Number of students amp; Cumulative frequency; 20 amp; 6 ...

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Standard XI

Statistics

Quartile Deviation

Find the quar...

Question

Find the quartile deviation for the following distribution

$\begin{matrix} M a r k s o b t a i n e d & 20 & 29 & 28 & 33 & 42 & 38 & 43 & 25 N u m b e r o f s t u d e n t s & 6 & 28 & 24 & 15 & 2 & 4 & 1 & 20 \end{matrix}$

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Solution

The correct option is B 2
$\begin{matrix} M a r k s o b t a i n e d & N u m b e r o f s t u d e n t s & C u m u l a t i v e f r e q u e n c y 20 & 6 & 6 25 & 20 & 26 28 & 24 & 50 29 & 28 & 78 33 & 15 & 93 38 & 4 & 97 42 & 2 & 99 43 & 1 & 100 \end{matrix}$

$Q_{1} = s i z e o f (\frac{N + 1}{4}) t h o b s e r v a t i o n = s i z e o f 25.25 t h o b s e r v a t i o n = 25$

$Q_{3} = s i z e o f 3 (\frac{N + 1}{4}) t h o b s e r v a t i o n = s i z e o f 75.75 t h o b s e r v a t i o n = 29$

$Q u a r t i l e D e v i a t i o n = \frac{Q_{3} - Q_{1}}{2} = \frac{29 - 25}{2} = \frac{4}{2} = 2$

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Find the coefficient of quartile deviation for the following distribution

$\begin{matrix} M a r k s o b t a i n e d & 20 & 29 & 28 & 33 & 42 & 38 & 43 & 25 N u m b e r o f s t u d e n t s & 6 & 28 & 24 & 15 & 2 & 4 & 1 & 20 \end{matrix}$

Find the median of the following data distribution.
$\begin{matrix} M a r k s o b t a i n e d & 20 & 29 & 28 & 33 & 42 & 38 & 43 & 25 N u m b e r o f s t u d e n t s & 6 & 28 & 24 & 15 & 2 & 4 & 1 & 20 \end{matrix}$

Find the median of the following data distribution. $\begin{matrix} M a r k s o b t a i n e d & 20 & 29 & 28 & 33 & 42 & 38 & 43 & 25 N u m b e r o f s t u d e n t s & 6 & 28 & 24 & 15 & 2 & 4 & 1 & 20 \end{matrix}$

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Find the quartile deviation for the following distribution Marks obtained2029283342384325Number of students628241524120

The correct option is B 2Marks obtainedNumber of studentsCumulative frequency 20662520262824502928783315933849742299431100 Q1=size of (N+14)th observation=size of 25.25th observation=25 Q3=size of 3(N+14)th observation=size of 75.75th observation=29 Quartile Deviation=Q3−Q12=29−252=42=2

Find the quartile deviation for the following distribution

$\begin{matrix} M a r k s o b t a i n e d & 20 & 29 & 28 & 33 & 42 & 38 & 43 & 25 N u m b e r o f s t u d e n t s & 6 & 28 & 24 & 15 & 2 & 4 & 1 & 20 \end{matrix}$