9. Which score indicates the highest relative position? a. A score of 3.2 on a test with mean 4.6 and standard deviation 1.5 b. A score of 630 on a test with mean 800 and standard deviation 200 c. A score of 43 on a test with mean 50 and standard deviation 5
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Mind Expander
To determine which score indicates the highest relative position, we can convert each score to a z-score, which tells us how many standard deviations a score is from the mean. For option a: z = (3.2 - 4.6) / 1.5 = -0.93 (below average) For option b: z = (630 - 800) / 200 = -0.85 (below average) For option c: z = (43 - 50) / 5 = -1.4 (below average) Although all scores are below the mean, the score of 630 on the second test has the highest z-score and thus the highest relative position compared to others. So, the answer is b.
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