Sue took a test in both biology and math last week. The biology test had a mean of 70 and a standard deviation of 7, whereas the math test had a mean of 75 and a standard deviation of 10. Sue scored a 76 on the biology test and a 76 on the math test. On which test did she do better in comparison to the rest of the class?Choose onethe math testthe biology testShe did the same on each test.cannot be determined
Question
Sue took a test in both biology and math last week. The biology test had a mean of 70 and a standard deviation of 7, whereas the math test had a mean of 75 and a standard deviation of 10. Sue scored a 76 on the biology test and a 76 on the math test. On which test did she do better in comparison to the rest of the class?Choose onethe math testthe biology testShe did the same on each test.cannot be determined
Solution
To determine on which test Sue did better in comparison to the rest of the class, we need to calculate her z-score for each test. The z-score is a measure of how many standard deviations an individual score is from the mean.
For the biology test: Z = (Sue's score - Mean score) / Standard deviation Z = (76 - 70) / 7 = 0.86
For the math test: Z = (Sue's score - Mean score) / Standard deviation Z = (76 - 75) / 10 = 0.1
A higher z-score means Sue did better compared to the rest of the class. Therefore, Sue did better on the biology test.
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