The five-number summary of credit hours for 24 students in a statistics class is: $$\begin{array} { | c | c | c | c | c | }
\hline \text { Min } & \text { Q1 } & \text { Median } & \text { Q3 } & \text { Max } \
\hline 13.0 & 15.0 & 16.5 & 18.0 & 22.0 \
\hline
\end{array}$$ Which statement is true?
A) There is at least one low outlier in the data.
B) There is at least one high outlier in the data.
C) There are both low and high outliers in the data.
D) There are no outliers in the data.
E) none of these

Question

The five-number summary of credit hours for 24 students in a statistics class is: $$\begin{array} { | c | c | c | c | c | } 
\hline \text { Min } & \text { Q1 } & \text { Median } & \text { Q3 } & \text { Max } \
\hline 13.0 & 15.0 & 16.5 & 18.0 & 22.0 \
\hline
\end{array}$$ Which statement is true?
A) There is at least one low outlier in the data.
B) There is at least one high outlier in the data.
C) There are both low and high outliers in the data.
D) There are no outliers in the data.
E) none of these

Quizplus · Accepted Answer

The interquartile range (IQR) is Q3 - Q1 = 18 - 15 = 3. The lower bound for outliers is Q1 - 1.5(IQR) = 15 - 1.5(3) = 12. The upper bound for outliers is Q3 + 1.5(IQR) = 18 + 1.5(3) = 21. Since all the data values are between 12 and 21, there are no outliers in the data.

The Five-Number Summary of Credit Hours for 24 Students in a Statistics