APFIVE Properties of Z-Scores
All of the following statements about converting raw scores to $$z$$-scores for normal distributions are true EXCEPT:
Raw Score to $$z$$-Score Conversion:
| Raw Score (x) | Mean ($$\mu$$) | SD ($$\sigma$$) | $$z$$-score formula |
|---|---|---|---|
| Any Value | Given | Given | $$z = \frac{x-\mu}{\sigma}$$ |
A
Converting a raw score to a $$z$$-score involves dividing the raw score by the standard deviation without subtracting the mean.
B
The conversion formula is $$z = \frac{x-\mu}{\sigma}$$.
C
A $$z$$-score indicates how many standard deviations a raw score is from the mean.
D
After converting to $$z$$-scores, probabilities can be computed using the standard normal distribution table or functions like normalcdf.
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