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O Descriptive Statistics
Finding a z-score and interpreting it in terms ...
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David is in his first semester at a certain university and is taking a calculus course with a large enrollment. He just took the first midterm exam and is nervous about his score, which was an 87. Among all of the students in the course, the mean of the exam was 57 with a standard deviation of 11 .
(a) Find the \( z \)-score of David's exam score relative to the exam scores among all the students in the course. Round your answer to two decimal places.
\[
z=
\]
\( \square \)
(b) Fill in the blanks to interpret the \( z \)-score of David's exam score. Make sure to express your answer in terms of a positive number of standard deviations.
David's exam score was \( \square \) standard deviations \( \square \) (Choose one) the mean exam score among all students in the course.
Explanation
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