\(\,\,\,\,\,\,Q1 = 3\)
\(\,\,\,\,\,\,Q3 = 9\)
\(\,\,\,\,\,\,IQR = Q3-Q1 = 9-3 = 6\)
\(\,\,\,\,\,\,1.5IQR = 1.5 \cdot 6 = 9\)
\(\,\,\,\,\,\,Q1-1.5IQR=3-9=-6\)
\(\,\,\,\,\,\,Q3+1.5IQR=9+9=18\)
\(\,\,\,\,\,\,\text{All data points are in between } -6 \text{ and } 18\).
\(\,\,\,\,\,\,\text{There is not an outlier.}\)
\(\,\,\,\,\,\,Q1 = 2\)
\(\,\,\,\,\,\,Q3 = 5\)
\(\,\,\,\,\,\,IQR = Q3-Q1 = 5-2 = 3\)
\(\,\,\,\,\,\,1.5IQR = 1.5 \cdot 3 = 4.5\)
\(\,\,\,\,\,\,Q1-1.5IQR=2-4.5=-2.5\)
\(\,\,\,\,\,\,Q3+1.5IQR=5+4.5=9.5\)
\(\,\,\,\,\,\,\text{All data points are in between } -2.5 \text{ and } 9.5\).
\(\,\,\,\,\,\,\text{There is not an outlier.}\)
\(\,\,\,\,\,\,Q1 = 4\)
\(\,\,\,\,\,\,Q3 = 5\)
\(\,\,\,\,\,\,IQR = Q3-Q1 = 5-4 = 1\)
\(\,\,\,\,\,\,1.5IQR = 1.5 \cdot 1 = 1.5\)
\(\,\,\,\,\,\,Q1-1.5IQR=4-1.5=2.5\)
\(\,\,\,\,\,\,Q3+1.5IQR=5+1.5=6.5\)
\(\,\,\,\,\,\,\text{All data points are in between } 2.5 \text{ and } 6.5\).
\(\,\,\,\,\,\,\text{There is not an outlier.}\)
\(\,\,\,\,\,\,Q1 = 2\)
\(\,\,\,\,\,\,Q3 = 6\)
\(\,\,\,\,\,\,IQR = Q3-Q1 = 6-2 = 4\)
\(\,\,\,\,\,\,1.5IQR = 1.5 \cdot 4 = 6\)
\(\,\,\,\,\,\,Q1-1.5IQR=2-6=-4\)
\(\,\,\,\,\,\,Q3+1.5IQR=6+6=12\)
\(\,\,\,\,\,\,\text{All data points are in between } -4 \text{ and } 12\).
\(\,\,\,\,\,\,\text{There is not an outlier.}\)
