Find the percentile of 0.29

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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Example 4: Use the same data, from example 2.

Find the percentile of 0.29

There are 7 values less than 0.29

The percentile = 100[(7 + 0.5)/11] = 68.18 or 68.2

So the result 0.29 corresponds to the 68th percentile.

 

 

 

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Example 2:

0.00, 0.08, 0.13, 0.14, 0.16, 0.17, 0.20, 0.29, .056, 0.70, 0.79

L = .25(11) = 2.75 which rounds to 3, so the 3rd number is the 25th percentile

and its value is 0.13

L = .50(11) = 5.5 which rounds to 6, so the 6th number is the 50th percentile, or the median

and its value is 0.17

L = .75(11) = 8.25 which rounds to 9, so the 9th number is the 75th percentile

and its value is 0.56

L = 0.25(11) = 2.75 which rounds to 3, so the 3rd number is the 25th percentile

and its value is 0.13

L = 0.50(11) = 5.5 which rounds to 6, so the 6th number is the 50th percentile, or the median

and its value is 0.17

L = 0.75(11) = 8.25 which rounds to 9, so the 9th number is the 75th percentile

and its value is 0.56

 

Expert Solution
Step 1

here as per your requirement i have calculated example 4

here given data set

0.00, 0.08, 0.13, 0.14, 0.16, 0.17, 0.20, 0.29, .056, 0.70, 0.79

here n= 11

here no. of observation below 0.29 are 7

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