Select one answer. A statistics teacher gives a multiple-choice exam with 20 que

Question

Select one answer. A statistics teacher gives a multiple-choice exam with 20 questions. The teacher wants to discourage guessing on the exam, so for each question the 10 points student earns 1 point for a correct answer, o points for no answer, and -1 point for a wrong answer. Consequently, if a student answered every question incorrectly the student would earn a score of -20 on the exam. However, if a student answered every question correctly, the student would earn a score of 20 on the exam. After the exam, the teacher distributes the list of test scores and asks the class to calculate the standard deviation. The first student to finish the calculations says that the standard deviation is -1.8. Other students respond with the following comments. Which comment is definitely correct? The standard deviation was calculated incorrectly. Most students guessed on too many problems and earned negative scores. A. B. C. D. OMost students scored below the mean. O There is an outlier that has a negative value close to -20.

Explanation / Answer

Answer: A) The standard deviation was calculated inorrectly, because standard deviation can never be negative.

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