Question 1 • CARE_24_25_TX-Mathematical Models with Applications B
Gregorio took two tests. Find his z-score for each test. (Remember: The number of standard deviations between a score and the mean score is indicated by a z-score.) On which did he score better compared with others in his class? Test ATest BGregorio’s score6270Mean score8090Standard deviation610
Answer
A
Test A: 3; Test B: 2; Test A
B
Test A: –3; Test B: –2; Test B
C
Test A: –2; Test B: –3; Test A
D
Test A: –3; Test B: –2; Test A
Explanation
Use z = (score − mean) ÷ standard deviation. For Test A, (62 − 80) ÷ 6 = −3; for Test B, (70 − 90) ÷ 10 = −2. Gregorio did better compared with his class on Test B because a z-score of −2 is higher (closer to the mean) than −3.
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