Why do we use Z scores?
-To identify and describe the exact location of each score in a distribution
-To make a distribution easier to understand
Properties of distributions of Z scores
-Retain shape of original distribution of scores
-Mean is 0
-Standard deviation is 1
Z
The z score
-1.96 or 1.96
σ
Standard deviation
X
Raw score
μ
Mean
M
Sample mean
S
Sample deviation
SS
Sum of squares
σ^2
Population variance
N
Number of scores(when added up)
How do Z Scores relate to inferential statistics? (3)
-They tell us about distribution placement/extreme scores
-Distance from mean in standard deviation
-Good comparison by turning apples and oranges into mangos