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 temperature corresponding to the 1st quartile.

26.8

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27.4

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28.2

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30.5

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Solution

The correct option is B
27.4

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

The fourth observation is 27.4 which
corresponds to the first quartile

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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 temperature corresponding to the 1st quartile.

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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 temperature corresponding to the 1st quartile.