Identify potential outliers, if any, for the given data.
-The weights (in ounces)of 27 tomatoes are listed below. $\begin{array} { l l l l l l l l l } 1.7 & 2.0 & 2.2 & 2.2 & 2.4 & 2.5 & 2.5 & 2.5 & 2.6 \end{array}$
$\begin{array} { l l l l l l l l l l } 2.6 & 2.6 & 2.6 & 2.6 & 2.7 & 2.8 & 2.8 & 2.8 & 2.9 \end{array}$
$\begin{array} { l l l l l l l l l } 2.9 & 2.9 & 3.0 & 3.0 & 3.1 & 3.1 & 3.3 & 3.6 & 4.2 \end{array}$
A)$4.2$
B) $1.7,3.6,4.2$
C) $1.7,4.2$
D) None

Question

Identify potential outliers, if any, for the given data.
-The weights (in ounces)of 27 tomatoes are listed below. $\begin{array} { l l l l l l l l l } 1.7 & 2.0 & 2.2 & 2.2 & 2.4 & 2.5 & 2.5 & 2.5 & 2.6 \end{array}$
$\begin{array} { l l l l l l l l l l } 2.6 & 2.6 & 2.6 & 2.6 & 2.7 & 2.8 & 2.8 & 2.8 & 2.9 \end{array}$
$\begin{array} { l l l l l l l l l } 2.9 & 2.9 & 3.0 & 3.0 & 3.1 & 3.1 & 3.3 & 3.6 & 4.2 \end{array}$  
A)$4.2$
B) $1.7,3.6,4.2$
C) $1.7,4.2$
D) None

Quizplus · Accepted Answer

To identify outliers, we calculate the first quartile (Q1), third quartile (Q3), and the interquartile range (IQR = Q3 - Q1). Outliers are typically defined as observations that fall below Q1 - 1.5*IQR or above Q3 + 1.5*IQR. In this dataset, Q1 is 2.5, Q3 is 2.9, and IQR is 0.4. Thus, the lower bound for outliers is 2.5 - 1.5*0.4 = 1.9, and the upper bound is 2.9 + 1.5*0.4 = 3.5. Therefore, 1.7 and 4.2 are considered outliers.

Identify Potential Outliers, If Any, for the Given Data 1.72.02.22.22.42.52.52.52.6\begin{array} { l l l l l l l l l } 1.7 & 2.0 & 2.2 & 2.2 & 2.4 & 2.5 & 2.5 & 2.5 & 2.6 \end{array}1.7​2.0​2.2​2.2​2.4​2.5​2.5​2.5​2.6​

Identify Potential Outliers, If Any, for the Given Data $\begin{array} { l l l l l l l l l } 1.7 & 2.0 & 2.2 & 2.2 & 2.4 & 2.5 & 2.5 & 2.5 & 2.6 \end{array}$