Flashcards: Descriptive Statistics

A student scores a \(\displaystyle 749\) on the Scholastic Assessment Test (SAT). A college admissions committee does not know how the exam is scored; however, they do know the scores of the exam form a normal distribution pattern. They also know the mean score and standard deviation of the population of students that took the test.

\(\displaystyle \textup{Mean}=\bar{x}=495\)

\(\displaystyle \textup{Standard deviation}=S_{x}=116\) 

Using this information, determine whether or not the student scored well on the SAT.

The student's score was average: similar to the mean.

The student scored well: above a single standard deviation of the mean.

The student scored very well: above two standard deviations of the mean.

The student scored poorly: below a single standard deviation of the mean.

The student scored very poorly: below two standard deviations of the mean.

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