$$\begin{array}{l}
\text { For the data set below, list the outliers, if any. }\
\begin{array} { l l l l l }
\hline 45 & 50 & 47 & 70 & 47 \
12 & 41 & 43 & 64 & 53 \
31 & 63 & 37 & 45 & 66 \
63 & 53 & 60 & 93 & 59 \
\hline
\end{array}
\end{array}$$
A) 93
B) 12 and 31
C) 12 and 93
D) There are no outliers.

Question

$$\begin{array}{l}
\text { For the data set below, list the outliers, if any. }\
\begin{array} { l l l l l } 
\hline 45 & 50 & 47 & 70 & 47 \
12 & 41 & 43 & 64 & 53 \
31 & 63 & 37 & 45 & 66 \
63 & 53 & 60 & 93 & 59 \
\hline
\end{array}
\end{array}$$
A) 93
B) 12 and 31
C) 12 and 93
D) There are no outliers.

Quizplus · Accepted Answer

To identify outliers, we first calculate the quartiles (Q1, Q2, Q3) and then the interquartile range (IQR = Q3 - Q1). Outliers are data points that fall below Q1 - 1.5*IQR or above Q3 + 1.5*IQR. In this dataset, after sorting the data, Q1 is 43.5, Q3 is 63, and IQR is 19.5. Thus, the lower bound for outliers is 13.75 and the upper bound is 92.75. Therefore, 12 and 93 are outliers.

A) 93 B) 12 and 31 C) 12 and 93

A) 93
B) 12 and 31
C) 12 and 93