Pregunta
A student’s grade on the Fundamentals of Engineering exam has a z-score of -0.5 . Make an observation about the student’s grade.
Choose the correct answer below.
A. The student’s grade on the exam was below the average.
B. The student’s grade on the exam was greater than
C. The student’s grade on the exam was above the average.
D. The student’s grade on the exam was less than
Choose the correct answer below.
A. The student’s grade on the exam was below the average.
B. The student’s grade on the exam was greater than
C. The student’s grade on the exam was above the average.
D. The student’s grade on the exam was less than
Ask by Frank Harper. in the United States
Jan 10,2025
Solución de inteligencia artificial de Upstudy
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The student’s grade was below the average.
Solución
To interpret the z-score of -0.5, we need to understand what a z-score represents. A z-score indicates how many standard deviations an element is from the mean (average) of a distribution.
- A z-score of 0 means the score is exactly at the average.
- A negative z-score (like -0.5) indicates that the score is below the average.
- The magnitude of the z-score tells us how far below the average the score is in terms of standard deviations.
Given that the z-score is -0.5, we can conclude that:
- The student’s grade is below the average (since the z-score is negative).
- The student’s grade is less than 50% of the other students’ grades, as a negative z-score typically indicates a position below the median in a normal distribution.
Now, let’s evaluate the options:
A. The student’s grade on the exam was below the average. (True)
B. The student’s grade on the exam was greater than
C. The student’s grade on the exam was above the average. (False)
D. The student’s grade on the exam was less than
B. The student’s grade on the exam was greater than
C. The student’s grade on the exam was above the average. (False)
D. The student’s grade on the exam was less than
Since both A and D are true, but A is the more direct observation regarding the average, the best answer is:
A. The student’s grade on the exam was below the average.
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Simplifique esta solución The Deep Dive
The correct answer is: A. The student’s grade on the exam was below the average.
A z-score represents how many standard deviations an element is from the mean. In this case, a z-score of -0.5 indicates that the student’s grade is half a standard deviation below the average grade of all students. This means the student’s performance was not as strong as the mean performance, signaling a score that falls below average in comparison to peers.
Additionally, it’s important to convey this in context: knowing where you stand relative to others can be beneficial for targeted improvement. If most students are scoring higher, this could be a sign to seek additional resources like study groups or tutoring. Understanding your z-score helps navigate your academic journey more effectively!
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