Identify potential outliers, if any, for the given data.
-The ages of the 21 members of a track and field team are listed below. $$\begin{array} { l l l l l l l }
15 & 18 & 18 & 19 & 22 & 23 & 24 \
24 & 24 & 24 & 25 & 26 & 26 & 27 \
28 & 28 & 30 & 32 & 33 & 40 & 42
\end{array}$$
A)42
B)40, 42
C)15, 42
D)None

Question

Identify potential outliers, if any, for the given data.
-The ages of the 21 members of a track and field team are listed below. $$\begin{array} { l l l l l l l } 
15 & 18 & 18 & 19 & 22 & 23 & 24 \
24 & 24 & 24 & 25 & 26 & 26 & 27 \
28 & 28 & 30 & 32 & 33 & 40 & 42
\end{array}$$ 
A)42
B)40, 42
C)15, 42
D)None

Quizplus · Accepted Answer

To identify potential outliers, we can use the interquartile range (IQR) method. First, we find the first quartile (Q1) and the third quartile (Q3) of the data. The IQR is Q3 - Q1. Any data point that lies more than 1.5 * IQR below Q1 or above Q3 is considered an outlier. In this dataset, Q1 is 23, Q3 is 28, and the IQR is 5. Thus, any value greater than 28 + (1.5 * 5) = 35.5 or less than 23 - (1.5 * 5) = 15.5 could be considered an outlier. Therefore, the ages 40 and 42 are potential outliers.