Question

Andre and Stella computed their z-scores for the results of their recent history test. Abdre got a z-score of
1.79
and Stella got a z-score of
−
2.01
. Based on this information, which statement is true?


Andre did worse on the test because her z-score is closer to
0
.


Stella did better on the test because her z-score has a larger absolute value.


Stella did worse on the test because her z-score is smaller.


Both Andre and Stella scored above average since the absolute value of their z-scores are both greater than
1

Answer 1

"Stella did worse on the test because her z-score is smaller." — True.

Reason: A z-score > 0 (Andre’s 1.79) means above the class mean; a z-score < 0 (Stella’s −2.01) means below the mean. Since −2.01 < 1.79, Stella scored lower relative to the class.