This may be some basic/fundamental question on 'dnorm' function in R. Let's say I create some z scores through z transformation and try to get the sum out of 'dnorm'.
data=c(232323,4444,22,2220929,22323,13)
z=(data-mean(data))/sd(data)
result=dnorm(z,0,1)
sum(result)
[1] 1.879131
As above, the sum of 'dnorm' is not 1 nor 0.
Then let's say I use zero mean and one standard deviation even in my z transformation.
data=c(232323,4444,22,2220929,22323,13)
z=(data-0)/1
result=dnorm(z,0,1)
sum(result)
[1] 7.998828e-38
I still do not get either 0 or 1 in sum.
If my purpose is to get sum of the probability equal to one as I will need for my further usage, what method do you recommend using 'dnorm' or even using other PDF functions?