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Ms. Curie is a 11th grade science teacher.  After grading the first two exams, she computed the mean and standard deviation for each exam.    Mean Exam Score  Standard Deviation of Exam ScoresExam 1 90 8.5Exam 2 81 3.2 Which of the following best describes what the standard deviations tell Ms. Curie about the exams. Group of answer choicesThe scores on Exam 1 were better at measuring learning than the scores on Exam 2.The scores on Exam 1 were lower than the scores on Exam 2.The scores on Exam 1 were more consistent than the scores on Exam 2.The scores on Exam 1 were higher than the scores on Exam 2.The scores on Exam 1 were more spread out than the scores on Exam 2.

Question

Ms. Curie is a 11th grade science teacher.  After grading the first two exams, she computed the mean and standard deviation for each exam.    Mean Exam Score  Standard Deviation of Exam ScoresExam 1 90 8.5Exam 2 81 3.2 Which of the following best describes what the standard deviations tell Ms. Curie about the exams. Group of answer choicesThe scores on Exam 1 were better at measuring learning than the scores on Exam 2.The scores on Exam 1 were lower than the scores on Exam 2.The scores on Exam 1 were more consistent than the scores on Exam 2.The scores on Exam 1 were higher than the scores on Exam 2.The scores on Exam 1 were more spread out than the scores on Exam 2.

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Solution

The standard deviation is a measure of how spread out the numbers in a data set are. A higher standard deviation means that the scores are more spread out, while a lower standard deviation means that the scores are closer together.

In this case, Exam 1 has a standard deviation of 8.5, while Exam 2 has a standard deviation of 3.2. This means that the scores on Exam 1 were more spread out than the scores on Exam 2.

So, the correct answer is: "The scores on Exam 1 were more spread out than the scores on Exam 2."

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