Cholesterol levels: A national health survey measured the serum HDL cholesterol

Question

Cholesterol levels: A national health survey measured the serum HDL cholesterol levels in a large number of women. Following is a sample of 36 HDL levels (in milligrams per deciliter) that are based on the results of that survey. The list has been sorted into numerical order. Op 25 27 29 29 29 30 31 31 31 31 32 32 32 33 35 38 39 42 42 43 46 47 47 48 49 49 49 50 51 52 55 56 60 69 71 73 to Excel One woman had a cholesterol level of 46. What percentile is this? Round the answer to the nearest whole number. The percentile is

Explanation / Answer

Solution::

Given that,

Arreanging observation in the ascending order,

25,27,29,29,29,30,31,31,31,31,32,32,32,33,35,38,39,42,42,43,46,47,47,48,49,49,49,50,51,52,55,56,60,69,71,73

n = 36

Percentile is P46

P46 = ( 46 (n +1 ) / 100 )th  Value of observation.

= ( 46 *37 /100 )th  Value of observation

= (17.02 )th  Value of observatio

= 17th  Value of observatio + 0.02 (18th -17)th  

=39 +0.02 ( 42 - 39)

= 39 +0.02 (3 )

= 39 +0.06

= 39.06

Percentile = 39.06

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