Why do values on the Y-axis change in a probability density plot when changing from raw values to z-scores?
The mean z-score aligns with 0.40 on the Y-axis, while the Y-value for the mean with respect to raw values is much lower. Why is that?
Here is some sample code in R:
x=seq(25,500,length=200) meanx = mean(x) sdx = sd(x)
y1 = dnorm(x, mean = meanx, sd = sdx )
plot(x,y1,type="l", col="red")
xz = (x - meanx)/sdx
y2 = dnorm(xz, mean = 0, sd = 1)
plot(xz, y2, type="l", col = "red")
