Question

How can I use SPSS to demonstrate that the mean of a z distribution of scores equals 0 and the standard deviation equals 1

Answer 1

Lets understand this with an example.

Let's assume we have the body height of 10 individuals as given below:

STEP 1 : The first step will be take this data to SPSS environment.

STEP 2)

Now we will transform the body_height into z score with mean 0 and standard deviation 1

AnalyzeDescriptives Descriptives

STEP 3 :

Move ‘body_height’ into the variable(s) box and select the “Save standardized values as variables” option, shown above.

This will give us descriptive statistics on the body_height variable, while at the same time saving the standardized value of the variable ‘body_height’

STEP 4 )

To get the descriptives on both body_height and the zscore of body_height, go back to Analyze DescriptivesDescriptives

And put body_height and zbody_height in the variable(s) box. Unclick “Save standardized values as variables” otherwise it will do the same thing all over again.

FInal STep : So we clearly see that the mean of zbody_height is 0 and it's standard deviation is 1.

Hope this helped.