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Marisol received a score of X=70 on her chemistry exam and a score of X=59 on her geography exam. The mean for the chemistry exam is u=66, and the mean for the geography exam is u=50. On which exam will Marisol receive a higher grade?

User Roberg
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Final answer:

Marisol received a higher grade relative to her class in geography, as she scored 9 points above the mean, compared to 4 points above the mean in chemistry.

Step-by-step explanation:

To determine on which exam Marisol received a higher grade, we compare her scores to the mean scores of each exam. Marisol scored X=70 on her chemistry exam, which has a mean (μ) of 66. She scored X=59 on her geography exam with a mean (μ) of 50. To assess which grade is relatively higher, we look at how much higher her score is compared to the mean in each subject. In chemistry, she scored 4 points above the mean (70 - 66 = 4). In geography, she scored 9 points above the mean (59 - 50 = 9).

Comparing these differences, Marisol received a higher grade in relation to her class on the geography exam, since she scored 9 points above the mean, versus the 4 points above the mean in chemistry.

Understanding performance relative to peers is important, and in both examples of Marisol's chemistry and geography exams, we see this concept in action as we compare her performance to the mean scores of her class.

User Hemant Parashar
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