For the data set below, find the outlier(s)
$\begin{array} { l l l l l l l l l l l }
\hline 166 & 169 & 170 & 161 & 155 & 206 & 152 & 167 & 204 & 134 & 165 \
\hline
\end{array}$
A)206
B)134
C)204 and 206
D)None are outliers.

Question

For the data set below, find the outlier(s)
$\begin{array} { l l l l l l l l l l l } 
\hline 166 & 169 & 170 & 161 & 155 & 206 & 152 & 167 & 204 & 134 & 165 \
\hline
\end{array}$
A)206
B)134
C)204 and 206
D)None are outliers.

Quizplus · Accepted Answer

To identify outliers, we can use the interquartile range (IQR) method. First, we need to arrange the data in ascending order and find the first quartile (Q1), the third quartile (Q3), and then calculate the IQR (Q3 - Q1). Outliers are typically defined as observations that fall below Q1 - 1.5*IQR or above Q3 + 1.5*IQR. Arranged data: 134, 152, 155, 161, 165, 166, 167, 169, 170, 204, 206Median (Q2) = 166Q1 (median of the first half) = 155.5Q3 (median of the second half) = 169.5IQR = Q3 - Q1 = 169.5 - 155.5 = 14Lower bound = Q1 - 1.5*IQR = 155.5 - 21 = 134.5Upper bound = Q3 + 1.5*IQR = 169.5 + 21 = 190.5Thus, 204 and 206 are outliers as they are above the upper bound.

For the Data Set Below, Find the Outlier(s) 166169170161155206152167204134165\begin{array} { l l l l l l l l l l l } \hline 166 & 169 & 170 & 161 & 155 & 206 & 152 & 167 & 204 & 134 & 165 \\\hline\end{array}166​169​170​161​155​206​152​167​204​134​165​​

For the Data Set Below, Find the Outlier(s) $\begin{array} { l l l l l l l l l l l } \hline 166 & 169 & 170 & 161 & 155 & 206 & 152 & 167 & 204 & 134 & 165 \\\hline\end{array}$