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Question

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 80th percentile.
 


  1. 27.8

  2. 29.6

  3. 28.8

  4. 30.4


Solution

The correct option is D

30.4


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
80th percentile, P80=size of80(N+1100)th observation=size of 12.8th observation

Here, the 12th observation is 30 and
the 13th observation is 30.5
 P80=30+0.8×(30.530)=30+0.8×.5=30.4
 

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