Asked by Colby Nuccio on May 25, 2024
Verified
Lamont took a psychology exam whose mean was 70 with standard deviation 5.He also took a calculus exam whose mean was 80 with standard deviation 10.He scored 85 on both exams.On which exam did he do better compared to the other students who took the exam?
A) He did better on the psychology exam,comparatively speaking.
B) He did better on the calculus exam,comparatively speaking.
C) He did the same on both exams,relatively speaking.
D) Cannot tell without more information.
Standard Deviation
A statistic that measures the dispersion or variability of a set of data points in relation to their mean, indicating how spread out the data points are.
Mean
The average of a set of numbers, calculated by adding all the numbers in a set together and then dividing by the count of those numbers.
- Determine comparative performance across different examinations using standard deviation and mean.
Verified Answer
AT
Antoinette TaylorMay 31, 2024
Final Answer :
A
Explanation :
To determine on which exam Lamont did better compared to other students, we calculate the z-score for each exam. The z-score is calculated as (score - mean) / standard deviation. For the psychology exam, the z-score is (85 - 70) / 5 = 3. For the calculus exam, the z-score is (85 - 80) / 10 = 0.5. A higher z-score indicates a better performance relative to the mean, so Lamont did better on the psychology exam comparatively.
Learning Objectives
- Determine comparative performance across different examinations using standard deviation and mean.
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