A Student at a Local University Took a Total of 20

question 97

Multiple Choice

A student at a local university took a total of 20 exams during freshman year.The student recorded the exam scores as percentages and created the following stem-and-leaf display.The lower stem contains leaves with the digits 0-4 and the upper stem contains leaves with digits 5-9.In addition to describing the distribution,give a reason to account for the shape of this distribution. Exam Grades 9
9
8
8
7
7
6
6
5 $$\begin{array} { l } 555555678 \\2344 \\5678\\\\9\\\\14\end{array}$$ Key:
9 $|~3$ = 93%

• A)The distribution of exam scores is skewed to the left.Typically,the student scored 94% on exams,and the exam scores are tightly clustered in the 90s.Two exam scores are outliers,when the student scored below 65%.It is possible that the student had a difficult time with one of his or her courses in that year.Regardless of the possible reasons,these two scores were unusual compared to the student's other exam scores.
• B)The distribution of exam scores is skewed to the left.Typically,the student scored 95% on exams,and the exam scores are tightly clustered in the 90s.Two exam scores are outliers,when the student scored below 65%.It is possible that the student had a difficult time with one of his or her courses in that year.Regardless of the possible reasons,these two scores were unusual compared to the student's other exam scores.
• C)The distribution of exam scores is skewed to the right.Typically,the student scored 95% on exams,and the exam scores are tightly clustered in the 90s.Two exam scores are outliers,when the student scored below 65%.It is possible that the student had a difficult time with one of his or her courses in that year.Regardless of the possible reasons,these two scores were unusual compared to the student's other exam scores.
• D)The distribution of exam scores is skewed to the left.Typically,the student scored 95% on exams,and the exam scores are tightly clustered in the upper 80s and lower 90s.Two exam scores are outliers,when the student scored below 65%.It is possible that the student had a difficult time with one of his or her courses in that year.Regardless of the possible reasons,these two scores were unusual compared to the student's other exam scores.
• E)The distribution of exam scores is skewed to the left.Typically,the student scored 95% on exams,and the exam scores are tightly clustered in the 90s.

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Definitions:

Binomial Outcome

A situation in statistics where an experiment or trial results in one of two outcomes, often termed success or failure.

Odds

A ratio representing the likelihood that an event will occur compared to the likelihood that it will not.

Myopia

A common eye condition characterized by nearsightedness, where close objects are seen clearly, but distant objects appear blurred.

Random Sample

A subset of individuals chosen from a population in such a way that every individual has an equal chance of being selected.