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.

Explanation: A positive z (Andre's 1.79) means above the mean; a negative z (Stella's −2.01) means below the mean. Since −2.01 is lower than 1.79, Stella scored worse.