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.

Question

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.

Quizplus · Accepted Answer

The distribution is skewed to the left because most scores are high (in the 90s), with a few lower scores pulling the distribution leftward. The mode (most frequent score) appears to be in the 95% range, indicating the student typically scored around 95% on exams. The mention of two scores below 65% as outliers supports the left skew and suggests difficulty in specific areas or exams.

A Student at a Local University Took a Total of 20