3
QuizMultiple Choice

Variability

Question 3 • CARE_24_25_TX-Mathematical Models with Applications B

Jeanette took two tests. Find her 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 she score better compared with others in her class? Test ATest BJeanette’s score9095Mean score6460Standard deviation810

Answer
A
Test A: 3.25; Test B: 3.5; Test B
B
Test A: 3.5; Test B: 3.25; Test A
C
Test A: 26; Test B: 35; Test B
D
Test A: 3.25; Test B: 3.5; Test A

Explanation

Calculate each z-score using (score − mean) ÷ standard deviation. For Test A, (90 − 64) ÷ 8 = 3.25; for Test B, (95 − 60) ÷ 10 = 3.5. Since 3.5 is higher than 3.25, Jeanette scored better compared with her classmates on Test B. The correct choice is “Test A: 3.25; Test B: 3.5; Test B.”

AI-written and checked against the verified answer.

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