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Quartile Deviation

Find the quar...

Question

Find the quartile deviation for the following data.

12, 5, 7, 3, 1, 13, 17, 5, 19, 13, 1

A

16

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B

8

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C

10

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D

5

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Solution

The correct option is D 5
Arrange the data in ascending order.

1, 1, 3, 5, 5, 7, 12, 13, 13, 17, 19

Here, N = 11
$Q_{1} = S i z e o f (\frac{N + 1}{4}) t h o b s e r v a t i o n = s i z e o f 3 r d o b s e r v a t i o n = 3$

$Q_{3} = S i z e o f 3 (\frac{N + 1}{4}) t h o b s e r v a t i o n = s i z e o f 9 t h o b s e r v a t i o n = 13$

$Q u a r t i l e D e v i a t i o n = \frac{Q_{3} - Q_{1}}{2} = \frac{13 - 3}{2} = 5$

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