Description

If a normal reference range for a test is given, then the mean and standard deviation can be derived if the statistical limits are known. The assumption is that the test shows a normal distribution.


 

Parameters:

(1) lower limit of reference range

(2) upper limit of reference range

(3) statistical limits to the reference range (95%, 97.5%, 98.8%, 99%)

 

upper limit =

= (mean) + ((number of standard deviations) * (standard deviation))

 

lower limit =

= (mean) - ((number of standard deviations) * (standard deviation))

 

mean value for the normal reference range =

= (lower limit) + (((upper limit) - (lower limit)) / 2) =

= ((upper limit) + (lower limit)) / 2

 

standard deviation =

= (((upper limit) - (lower limit)) / 2) / (number of standard deviations in the reference range) =

= ((upper limit) - (lower limit)) / (2 * (number of standard deviations))

 

Limits for the Reference Range

Number of Standard Deviations

68.27%

1

95.45%

2

97.5%

2.25

98.8%

2.5

99.73%

3

 


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