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Ash, Blake, Kit and Sage are comparing scores on tests they have taken in different classes. Having taken statistics, they know that despite being in
Ash, Blake, Kit and Sage are comparing scores on tests they have taken in different classes. Having taken statistics, they know that despite being in different classes and taking different tests, they can compare their test results because all the test results may be represented by a Normal distribution, allowing them to find their relative ranking compared to the rest of their class on their test. Ash scored a 102 on a test with mean 92 and standard deviation 6 Blake scored a 98 on a test with mean 89 and standard deviation 6 Kit scored a 70 on a test with mean 63 and standard deviation 4 Sage scored a 68 on a test with mean 58 and standard deviation 7 Compared to each other, which one of the 4 friends did the best on their exam? Best means their ranking relative to the others who took the same test. For instance, someone scoring in the 85th percentile on their test in class A did better than someone scoring in the 80th percentile on their test in class B
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