Find the coefficient of quartile deviation for the following distributionWhineMarks obtained - 20 - 29 - 28 - 33 - 42 - 38 - 43 - 2511 WineNumber of - students - 6 - 28 - 24 - 15 - 2 - 4 - 1 - 20 1Wline array A- 0-037B- 0-056C- 0-068D- 0-074

The correct option is D 0.074 [ Marks obtained amp; Number of students amp; Cumulative frequency; 20 amp ...

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Standard XI

Statistics

Absolute and Relative Measures of Dispersion

Find the coef...

Question

Find the coefficient of quartile deviation for the following distribution

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

0.037

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0.056

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0.068

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0.074

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Solution

The correct option is D
0.074

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

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

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

$C o e f f i c i e n t o f Q D = \frac{Q_{3} - Q_{1}}{Q_{3} + Q_{1}} = \frac{29 - 25}{29 + 25} = \frac{4}{54} = 0.074$

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

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

Find the coefficient of quartile deviation for the following distribution

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