Question 158721 • Mathematics for College Liberal Arts Sem 1 (1207350) BCPS 2025-26
In the 2018 Drake Relays, 20 high-school girls and 23 college women competed in the high jump finals. Megan’s winning jump in the high-school competition had a z-score of 2.51. Janae’s winning jump in the college competition had a z-score of 2.00.Which statement correctly compares the z-scores?
Answer
A
Megan’s jump is more impressive because a positive z-score means that the jump was longer than the competitions’ jumps, and her z-score is greater than Janae’s.
B
Megan’s jump is more impressive because a positive z-score means that the jump was shorter than the competitions’ jumps, and her z-score is greater than Janae’s.
C
Janae’s jump is more impressive because her z-score is closer to the mean than Megan’s.
D
Janae’s jump is more impressive because her z-score is smaller than Megan’s.
Explanation
A positive z-score means a result is above the mean for its competition. Megan’s z-score of 2.51 is greater than Janae’s 2.00, so Megan’s jump was farther above her competition’s average in standard-deviation units. Therefore, choice A correctly describes Megan’s jump as more impressive.
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