Description

Sometimes it is nice to know how many people in a normal distribution have a value higher, lower or the same as a given result. This can be taken by taking a small rectangle about the value in question out of the area under the normal distribution curve.


 

Function used in Excel: NORMDIST(value, mean, SD, TRUE)

 

Input data:

(1) original value of a patient in the normal distribution

(2) mean value for the normal distribution

(3) size of 1 standard deviation

 

Steps:

 

(1) Determine how many standard deviations the value is from the mean.

 

number of standard deviations from mean =

= ((value) - (mean)) / (size of standard deviation)

 

(2) Determine the value associated with that number of standard deviations minus 0.01, where:

 

lower value =

= (mean) + (((number of standard deviations for initial value) - (0.01)) * (size of standard deviation))

 

(3) Determine the value associated with that number of standard deviations plus 0.01, where:

 

upper value =

= (mean) + (((number of standard deviations for initial value) + (0.01)) * (size of standard deviation))

 

(4) Determine the cumulative value for the distribution to the lower value.

 

cumulative value =

= NORMDIST(lower value, mean, standard deviation, TRUE)

 

(5) Determine the value for distribution above the upper value

 

cumulative value for part of curve above the upper value =

= 1 - NORMDIST(upper value, mean, standard deviation, TRUE)

 

(6) The amount of the distribution about the original value is

 

value around original value =

= 1 - (cumulative value for curve up to lower value) - (value for curve above the upper value)

 


To read more or access our algorithms and calculators, please log in or register.