Answer
$x̅=13178.9$
$Median=9980$
$R=35550$
$s=10797.5$
$IQR=5954.5$
The mean, the standard deviation and the range were significantly affected. They are not resistant.
The median and the IQR were not affected. They are resistant.
Work Step by Step
In ascendind order: 5500, 7200, 7889, 8998, 9980, 10995, 12999, 13999, 41050
$x̅=mean=\frac{5500+7200+7889+8998+9980+10995+12999+13999+41050}{9}=13178.9$
There are nine observations. So, the median is the fifth observation in ascending order.
$Median=9980$
$R=largest~value−smallest~value=41050-5500=35550$
$s=\sqrt {\frac{Σ(x_i−x̅)^2}{n-1}}=\sqrt {\frac{(41050-10178.9)^2+(13999-10178.9)^2+(12999-10178.9)^2+(10995-10178.9)^2+(9980-10178.9)^2+(8998-10178.9)^2+(7889-10178.9)^2+(7200-10178.9)^2+(5500-10178.9)^2}{9-1}}=10797.5$
$Q_1=\frac{7200+7889}{2}=7544.5$
$Q_3=\frac{12999+13999}{2}=13499$
$IQR=Q_3-Q_1=13499-7544.5=5954.5$
