What proportion of the standardized scores of a sample lies between the Z-scores of –1.96 and +1.96?
a. 34.0%
b. 47.7%
c. 68.3%
d. 95.5%
ANS: D
Z-scores are a common standardized score used to express deviations from the mean in terms of standard deviation units. Figure 12-1 demonstrates that standardized scores lying between the Z-score of –1.96 and +1.96 are distributed over 95.5% of the normal curve.
34.0% of cases will be 1 score above or below the mean.
Approximately 47.7% of cases will be 1.96 above OR below the mean.
68.3% of cases will lie between the Z-scores of –1.0 and +1.0.
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