The average ambient temperatures (in degree celsius) for a region for 15 years from 2001-2015 is given below.

26.3, 29.7, 31, 29.8, 26.8, 27.6, 27.4, 27.0, 27.6, 27.8, 30.0, 32.0, 28.9, 30.5, 29.5

Find the inter-quartile range of the temperatures.

1.5

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1.3

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2.6

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Solution

The correct option is D 2.6
Arrange the observations in ascending order.

26.3, 26.8, 27.0, 27.4, 27.6, 27.6, 27.8, 28.9, 29.5, 29.7, 29.8, 30, 30.5, 31, 32

Here, N=15
$1 s t q u a r t i l e, Q_{1} = s i z e o f (\frac{N + 1}{4}) t h o b s e r v a t i o n = s i z e o f 4 t h o b s e r v a t i o n = 27.4$

$3 r d q u a r t i l e, Q_{3} = s i z e o f 3 (\frac{N + 1}{4}) t h o b s e r v a t i o n = s i z e o f 12 t h o b s e r v a t i o n = 30$

$I n t e r - q u a r t i l e r a n g e = Q_{3} - Q_{1} = 30 - 27.4 = 2.6$

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The average ambient temperatures (in degree celsius) for a region for 15 years from 2001-2015 is given below. 26.3, 29.7, 31, 29.8, 26.8, 27.6, 27.4, 27.0, 27.6, 27.8, 30.0, 32.0, 28.9, 30.5, 29.5 Find the inter-quartile range of the temperatures.

The average ambient temperatures (in degree celsius) for a region for 15 years from 2001-2015 is given below.

26.3, 29.7, 31, 29.8, 26.8, 27.6, 27.4, 27.0, 27.6, 27.8, 30.0, 32.0, 28.9, 30.5, 29.5

Find the inter-quartile range of the temperatures.