Also known as standard scores
It is used to identify and describe the exact
location of each score in a distribution
A score by itself does not necessarily provide
much information about its position within a
It tells the exact location of the original X value
The number tells the distance between the
score and the mean
Z-Scores will have exactly the same shape as the
original distribution of scores
Z-scores will always have a mean of zero
The distribution of Z-scores will always have a
standard deviation of 1
One advantage of standardizing distributions is
that it makes it possible to compare different
individuals even though they are from
completely different distributions.
You are doing a research with homeless people.
You want to be able to identify those who are
depressed so they can be referred to treatment.
You used the Beck Depression Inventory.
With n = 50, 𝑥 = 15 and 𝜎 = 2.
The following are the scores obtained: